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A118436 Column 0 of triangle A118435. 3
1, 1, -3, -11, 25, 41, -43, 29, -335, -1199, 3117, 6469, -10295, -8839, -16123, -108691, 354145, 873121, -1721763, -2521451, 1476985, -6699319, 34182197, 103232189, -242017775, -451910159, 597551757, 130656229, 2465133865, 10513816601, -29729597083, -66349305331 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
Binomial transform of A118434 = (1, 1, 3, 11, 25, 41, 43, -29, -335, -1199, ...). - Gary W. Adamson, Sep 19 2008
LINKS
FORMULA
G.f.: (1 + x + 2*x^2 - 6*x^3 + 29*x^4 + 5*x^5)/((1-x^2)*(1 + 6*x^2 + 25*x^4)).
MATHEMATICA
LinearRecurrence[{0, -5, 0, -19, 0, 25}, {1, 1, -3, -11, 25, 41}, 32] (* Jean-François Alcover, Apr 08 2024 *)
PROG
(PARI) {a(n)=polcoeff((1+x+2*x^2-6*x^3+29*x^4+5*x^5)/(1-x^2)/(1+6*x^2+25*x^4+x*O(x^n)), n)}
CROSSREFS
Cf. A118434, A118435 (triangle), A118437 (row sums).
Sequence in context: A112051 A231068 A185258 * A293413 A056106 A320035
KEYWORD
sign
AUTHOR
Paul D. Hanna, Apr 28 2006
STATUS
approved

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Last modified June 12 14:23 EDT 2024. Contains 373331 sequences. (Running on oeis4.)