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Search: id:A128497
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| A128497 |
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Coefficient table for sums over product of adjacent Chebyshev S-polynomials. |
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1
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| 1, 0, 1, 2, -2, 1, 0, 5, -4, 1, 3, -8, 12, -6, 1, 0, 14, -28, 23, -8, 1, 4, -20, 58, -68, 38, -10, 1, 0, 30, -108, 171, -136, 57, -12, 1, 5, -40, 188, -382, 405, -240, 80, -14, 1, 0, 55, -308, 781, -1056, 828, -388, 107, -16, 1, 6, -70, 483, -1488, 2488, -2472, 1524, -588, 138, -18, 1, 0, 91, -728, 2678, -5408
(list; table; graph; listen)
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OFFSET
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0,4
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COMMENT
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See A049310 for the coefficient table of Chebyshev's S(n,x)=U(n,x/2) polynomials.
See A128495 for the sums of squares of Chebyshev's S-polynomials.
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LINKS
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W. Lang, First 15 rows.
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FORMULA
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sum(S(k,x)*S(k+1,x)/x,k=0..n)= sum(a(n,m)*x^(2*m),m=0..n).
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EXAMPLE
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[1];[0,1];[2,-2,1];[0,5,-4,1];[3,-8,12,-6,1];[0,14,-28,23,-8,1];...
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CROSSREFS
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Row sums (signed) look like A008620. Row sums (unsigned) look like |A077916|.
Sequence in context: A122896 A107267 A112161 this_sequence A011434 A059365 A099039
Adjacent sequences: A128494 A128495 A128496 this_sequence A128498 A128499 A128500
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KEYWORD
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sign,tabl,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Apr 04 2007
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