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A084641 Binomial transform of n^7. 0
0, 1, 130, 2574, 25904, 183200, 1040112, 5076400, 22171648, 88915968, 333209600, 1181548544, 4001402880, 13033885696, 41061830656, 125666611200, 374947708928, 1093874155520, 3128047828992, 8785866391552, 24280799641600 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

The binomial transforms of n, n^2, n^3, n^4, n^5, n^6 are A001787, A001788, A058645, A058649, A059338, A056468 respectively.

LINKS

Table of n, a(n) for n=0..20.

Index entries for linear recurrences with constant coefficients, signature (16,-112,448,-1120,1792,-1792,1024,-256).

FORMULA

a(n)=n^2(n^5+21n^4+105n^3+35n^2 - 210n+112)2^(n - 7); a(n)=sum{k=0..n, C(n, k)k^7 }.

G.f.: -x*(272*x^6-816*x^5+96*x^4+1168*x^3-606*x^2-114*x-1)/(2*x-1)^8. [Colin Barker, Sep 20 2012]

CROSSREFS

Sequence in context: A262108 A250212 A239094 * A271758 A228997 A168124

Adjacent sequences:  A084638 A084639 A084640 * A084642 A084643 A084644

KEYWORD

easy,nonn

AUTHOR

Paul Barry, Jun 08 2003

STATUS

approved

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Last modified November 21 22:40 EST 2019. Contains 329383 sequences. (Running on oeis4.)