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Thursday, January 19, 2012. Eigensequence of a triangle, and Eigentriangle. Given triangle M as an infinite lower triangular matrix, there is some sequence prefaced with a "1" such that M*(seq prefaced with a 1) shifts the sequence to the left, deleting the "1", while the rest of the sequence remains the same. That seq is the Eigensequence of a triangle (defined without the prepended 1). Example: Given S(n) = (1, 2, 3, 4,.), our Toeplitz triangle =. We place a "1" at top, take powers, getting our left-sh...

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qntmpkt | qntmpkt.blogspot.com Reviews

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Thursday, January 19, 2012. Eigensequence of a triangle, and Eigentriangle. Given triangle M as an infinite lower triangular matrix, there is some sequence prefaced with a 1 such that M*(seq prefaced with a 1) shifts the sequence to the left, deleting the 1, while the rest of the sequence remains the same. That seq is the Eigensequence of a triangle (defined without the prepended 1). Example: Given S(n) = (1, 2, 3, 4,.), our Toeplitz triangle =. We place a 1 at top, take powers, getting our left-sh...

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qntmpkt | qntmpkt.blogspot.com Reviews

https://qntmpkt.blogspot.com

Thursday, January 19, 2012. Eigensequence of a triangle, and Eigentriangle. Given triangle M as an infinite lower triangular matrix, there is some sequence prefaced with a "1" such that M*(seq prefaced with a 1) shifts the sequence to the left, deleting the "1", while the rest of the sequence remains the same. That seq is the Eigensequence of a triangle (defined without the prepended 1). Example: Given S(n) = (1, 2, 3, 4,.), our Toeplitz triangle =. We place a "1" at top, take powers, getting our left-sh...

INTERNAL PAGES

qntmpkt.blogspot.com

1

qntmpkt: INVERT transform

http://qntmpkt.blogspot.com/2010/08/invert-transform.html

Tuesday, August 24, 2010. The basic links at OEIS, http:/ www.tinyurl.com/4zq4q. Arxiv article listed - by Bernstein and Sloane. The operations are presented in this blog, by way of example: find the INVERT. Transform of (1, 2, 3,.). 1 Given an offset of 1 for S(x) = (x 2x 2 3x 3 4x 4 .); we plug about 6 of such terms into Wolfram alpha with S(x) in the following:. INVERT transform = (1 / (1 - S(x) - 1. So we plug into the field: 1/(1 - x - 2x 2 - 3x 3 - 4x 4 - 5x 5), enter. Getting (x 3x 2 8x 3 21x 4).

2

qntmpkt: Proof of Adamson's conjecture on palindromic continued fractions, re: A179238

http://qntmpkt.blogspot.com/2010/07/proof-of-adamsons-conjecture-on.html

Monday, July 5, 2010. Proof of Adamson's conjecture on palindromic continued fractions, re: A179238. Proof of Adamson's conjecture: Gary W. Adamson, re: A179238 in OEIS stating that :. A given t = irrational Tan A, then if t = the convergent to an infinitely periodic palindromic continued fraction, then Tan 2A is rational; and the converse. B Tan 2A is rational when Tan A is rational iff, Tan A = t = the convergent to an infinitely periodic palindromic continued fraction. Phi 3 = 4.236. where &#4...Thus,...

3

qntmpkt: Eigensequence of a triangle, & Eigentriangle

http://qntmpkt.blogspot.com/2012/01/eigensequence-of-triangle-eigentriangle.html

Thursday, January 19, 2012. Eigensequence of a triangle, and Eigentriangle. Given triangle M as an infinite lower triangular matrix, there is some sequence prefaced with a "1" such that M*(seq prefaced with a 1) shifts the sequence to the left, deleting the "1", while the rest of the sequence remains the same. That seq is the Eigensequence of a triangle (defined without the prepended 1). Example: Given S(n) = (1, 2, 3, 4,.), our Toeplitz triangle =. We place a "1" at top, take powers, getting our left-sh...

4

qntmpkt: September 2009

http://qntmpkt.blogspot.com/2009_09_01_archive.html

Tuesday, September 8, 2009. 54, 59, 74, 79, 94, 146, 161, 166, 168, 173, 188, 193, 195, 200, 202, 203,. 205, 210, 225, 230, 245, 297, 312. 317. 332. 384,. 587, 639, 654, 706, 721, 726, 728, 733, 748, 753, 768, 820, 835, 840, 842,. 847, 862 ,867, 869, 874, 876, 877. Where a(64) = 877. Dragon curve coding, part II. Dragon curve coding, part I. Binomial transform, part II. Http:/ oeisfan.blogspot.com/2009/08/binomial-transform-introduction.html. From the other e mail the lengths of CF fractions are:. Right ...

5

qntmpkt: invert transform, an introduction

http://qntmpkt.blogspot.com/2010/08/invert-transform-introduction.html

Wednesday, August 25, 2010. Invert transform, an introduction. Refer to Aug. 24-th 2010 blog; "INVERT transform". Subscribe to: Post Comments (Atom). Invert transform, an introduction. View my complete profile.

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Thursday, January 19, 2012. Eigensequence of a triangle, and Eigentriangle. Given triangle M as an infinite lower triangular matrix, there is some sequence prefaced with a "1" such that M*(seq prefaced with a 1) shifts the sequence to the left, deleting the "1", while the rest of the sequence remains the same. That seq is the Eigensequence of a triangle (defined without the prepended 1). Example: Given S(n) = (1, 2, 3, 4,.), our Toeplitz triangle =. We place a "1" at top, take powers, getting our left-sh...

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