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Search: id:A053295
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A053295 Partial sums of A053739. +0
7
1, 7, 29, 92, 247, 591, 1300, 2683, 5270, 9955, 18228, 32551, 56967, 98086, 166681, 280271, 467301, 773906, 1274856, 2091266, 3419252, 5576298, 9076280, 14750858, 23945893, 38839257, 62955061, 101995694 (list; graph; listen)
OFFSET

0,2

REFERENCES

A. H. Beiler, Recreations in the Theory of Numbers, Dover, N.Y., 1964, pp. 189, 194-196.

FORMULA

a(n)=sum{C(n+6-i, n-2i; i=0 to [n/2]}; n >= 0; [x]=greatest integer in x.

a(n)=Sum_{k=1..n}{C(n-k+6,k+5)}, with n>=0 - Paolo P. Lava (ppl(AT)spl.at), Apr 16 2008

EXAMPLE

a(n)=a(n-1)+a(n-2)+C(n+5,5); n >= 0; a(-1)=0.

CROSSREFS

Cf. A053739, A014166, and A000045.

Right-hand column 12 of triangle A011794.

Sequence in context: A079796 A114043 A001779 this_sequence A055798 A002664 A042609

Adjacent sequences: A053292 A053293 A053294 this_sequence A053296 A053297 A053298

KEYWORD

easy,nonn

AUTHOR

Barry E. Williams, Mar 04 2000

page 1

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


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