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A118437 Row sums of triangle A118435. 3
1, 2, 0, 8, -32, -128, 320, 128, 2048, 8192, -15360, 2048, -131072, -524288, 1064960, 32768, 8388608, 33554432, -66846720, 524288, -536870912, -2147483648, 4299161600, 8388608, 34359738368, 137438953472, -274810798080, 134217728 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
FORMULA
G.f.: (1+8*x^3-32*x^5+384*x^6-256*x^7)/(1-2*x)/(1+4*x^2)/(1+64*x^4).
MATHEMATICA
nmax = 27;
h[n_, k_] := Binomial[n, k]*(-1)^(Quotient[n+1, 2] - Quotient[k, 2]+n-k);
H = Table[h[n, k], {n, 0, nmax}, {k, 0, nmax}];
Cn = Table[Binomial[n, k], {n, 0, nmax}, {k, 0, nmax}];
Total /@ (H.Inverse[Cn].H ) (* Jean-François Alcover, Apr 08 2024 *)
PROG
(PARI) {a(n)=polcoeff((1+8*x^3-32*x^5+384*x^6-256*x^7)/(1-2*x)/(1+4*x^2)/(1+64*x^4+x*O(x^n)), n)}
CROSSREFS
Cf. A118435 (triangle), A118436 (column 0).
Sequence in context: A076687 A062134 A002909 * A134185 A013489 A013342
KEYWORD
sign
AUTHOR
Paul D. Hanna, Apr 28 2006
STATUS
approved

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Last modified August 18 17:29 EDT 2024. Contains 375269 sequences. (Running on oeis4.)