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A089661 Let S1 := (n,t)->add( k^t * add( binomial(n,j), j=0..k), k=0..n); a(n) = S1(n,4). +0
1
0, 2, 67, 764, 5492, 30304, 140672, 577920, 2167680, 7577088, 25037056, 79016960, 240028672, 705961984, 2019713024, 5641535488, 15431565312, 41438281728, 109462880256, 284942925824, 732004876288, 1858158460928, 4665915736064, 11600782163968, 28582042664960 (list; graph; listen)
OFFSET

0,2

REFERENCES

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

FORMULA

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

CROSSREFS

Sequence in context: A106998 A107214 A046848 this_sequence A041577 A085915 A061144

Adjacent sequences: A089658 A089659 A089660 this_sequence A089662 A089663 A089664

KEYWORD

nonn

AUTHOR

njas, Jan 04 2004

page 1

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.


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