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A008860 Sum C(n,k), k=0..7. +0
7
1, 2, 4, 8, 16, 32, 64, 128, 255, 502, 968, 1816, 3302, 5812, 9908, 16384, 26333, 41226, 63004, 94184, 137980, 198440, 280600, 390656, 536155, 726206, 971712, 1285624, 1683218, 2182396, 2804012, 3572224, 4514873, 5663890, 7055732 (list; graph; listen)
OFFSET

0,2

REFERENCES

L. Comtet, Advanced Combinatorics, Reidel, 1974, p. 72, Problem 2.

FORMULA

a(n) = sum( binomial( n+1, 2k-1 ) for k=1..4 ) = ( n^6 -14*n^5 +112*n^4 -350*n^3 +1099*n^2 +364*n +3828 )*n/5040 +1.

CROSSREFS

Cf. A008859, A008861, A008862, A008863, A006261, A000127.

Sequence in context: A009641 A089889 A054045 this_sequence A079262 A087079 A009694

Adjacent sequences: A008857 A008858 A008859 this_sequence A008861 A008862 A008863

KEYWORD

nonn

AUTHOR

njas, R. K. Guy

EXTENSIONS

Len Smiley's formula for A006261 copied by frank.ellermann(AT)t-online.de

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


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