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A157054 Number of integer sequences of length n+1 with sum zero and sum of absolute values 10. 1
2, 30, 252, 1500, 7002, 27174, 91112, 271224, 731502, 1815506, 4197468, 9129276, 18827718, 37060506, 70006512, 127485584, 224676522, 384468534, 640622012, 1041949020, 1657762722, 2584888350, 3956576472, 5953712520, 8818775030, 12873059082, 18537751260 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

T. D. Noe, Table of n, a(n) for n = 1..1000

FORMULA

a(n)=T(n,5); T(n,k)=sum({i=1..n}binomial(n+1,i)*binomial(k-1,i-1)*binomial(n-i+k,k)).

Empirical G.f.: 2*x*(1+4*x+16*x^2+24*x^3+36*x^4+24*x^5+16*x^6+4*x^7+x^8)/(1-x)^11. [Colin Barker, Mar 17 2012]

CROSSREFS

Cf. A103881, A156554.

Sequence in context: A232602 A154413 A007030 * A092355 A215237 A189103

Adjacent sequences:  A157051 A157052 A157053 * A157055 A157056 A157057

KEYWORD

nonn

AUTHOR

R. H. Hardin Feb 22 2009

STATUS

approved

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Last modified July 11 01:51 EDT 2020. Contains 335600 sequences. (Running on oeis4.)