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A130683 Duplicate of A032184. 0
4, 16, 96, 768, 7680, 92160, 1290240, 20643840, 371589120, 7431782400, 163499212800, 3923981107200, 102023508787200, 2856658246041600, 85699747381248000, 2742391916199936000, 93241325150797824000, 3356687705428721664000, 127554132806291423232000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

a(n) is the (n+1)-th difference of sequence (2*i + 1)^(n+1) + (2*i + 2)^(n+1) for i >= 0. - David A. Corneth, Jun 22 2017

LINKS

Table of n, a(n) for n=0..18.

FORMULA

a(n) = 4 * 2^n * n! - David A. Corneth, Jun 22 2017

MATHEMATICA

Table[Union[Differences[Total/@Partition[Range[100]^n, 2], n]], {n, 20}]//Flatten (* Harvey P. Dale, Jun 22 2017 *)

PROG

(PARI) a(n) = n++; my(v = vector(n+1, i, (2*i)^n+(2*i-1)^n)); sum(k=0, #v-1, binomial(#v-1, k)*(-1)^(#v-1+k)*v[k+1]) \\ David A. Corneth, Jun 22 2017

CROSSREFS

Sequence in context: A098580 A027745 A032184 * A111976 A236772 A209299

Adjacent sequences:  A130680 A130681 A130682 * A130684 A130685 A130686

KEYWORD

dead

AUTHOR

Gil Costa (gilpratacosta(AT)gmail.com), Jun 29 2007

EXTENSIONS

Corrected and extended by Harvey P. Dale, Jun 22 2017

STATUS

approved

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Last modified July 20 12:11 EDT 2017. Contains 289626 sequences.