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A089666 Let S2 := (n,t)->add( k^t * (add( binomial(n,j), j=0..k))^2, k=0..n); a(n) = S2(n,3). 0
0, 4, 137, 2136, 23452, 209840, 1640346, 11648224, 76976048, 481048128, 2874897670, 16564931504, 92584313112, 504313834336, 2687067833492, 14045889333120, 72202366588096, 365713117287680, 1828223537042142, 9032706189007888, 44158716127799240, 213826835772518304 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Jun Wang and Zhizheng Zhang, On extensions of Calkin's binomial identities, Discrete Math., 274 (2004), 331-342.

LINKS

Table of n, a(n) for n=0..21.

FORMULA

There is an explicit formula for the sum - see Wang and Zhang.

CROSSREFS

Sequence in context: A229416 A155207 A201388 * A029850 A221675 A340838

Adjacent sequences:  A089663 A089664 A089665 * A089667 A089668 A089669

KEYWORD

nonn

AUTHOR

N. J. A. Sloane, Jan 04 2004

STATUS

approved

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Last modified December 8 00:04 EST 2021. Contains 349590 sequences. (Running on oeis4.)