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A089662 Let S1 := (n,t)->add( k^t * add( binomial(n,j), j=0..k), k=0..n); a(n) = S1(n,5). +0
1
0, 2, 131, 2172, 20386, 138580, 763824, 3631712, 15470144, 60527232, 221297920, 765580288, 2529498624, 8039103488, 24713744384, 73818562560, 215011065856, 612515381248, 1710842904576, 4695105732608, 12682107944960, 33768108982272, 88748191645696 (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: A117626 A142251 A125633 this_sequence A119778 A071606 A080282

Adjacent sequences: A089659 A089660 A089661 this_sequence A089663 A089664 A089665

KEYWORD

nonn

AUTHOR

njas, Jan 04 2004

page 1

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Last modified July 26 13:41 EDT 2008. Contains 142293 sequences.


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