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A108292 Row sums of triangle A108290. 3
1, 3, 19, 195, 2751, 49413, 1079079, 27760323, 822299383, 27565191753, 1031671508495, 42643092165765, 1929325374428791, 94835735736471369, 5032700868665421519, 286770182910733076163, 17463186681730290301671 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n) = Sum_{k=0..n} A108267(n, k)*2^k.

PROG

(PARI) a(n)=local(X=x+x*O(x^n)); sum(k=0, n, polcoeff(sum(j=0, n, binomial(n+n*j+j, n*j+j)*(x/(1+X))^j)/(1+X), k))

(PARI) a(n)=sum(k=0, n, 2^k*polcoeff( (1-x)^(n+1)*sum(j=0, n, binomial(n+n*j+j, n*j+j)*x^j), k))

CROSSREFS

Cf. A108267, A060543, A108290.

Sequence in context: A080893 A028854 A222865 * A053554 A048172 A079145

Adjacent sequences:  A108289 A108290 A108291 * A108293 A108294 A108295

KEYWORD

nonn

AUTHOR

Paul D. Hanna, May 31 2005

STATUS

approved

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Last modified March 18 22:11 EDT 2019. Contains 321305 sequences. (Running on oeis4.)