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A256288 Sum of all the parts in the partitions of 7n into 7 parts. 1
0, 7, 210, 2205, 12208, 47845, 148638, 393617, 922600, 1970325, 3902360, 7270725, 12868128, 21811881, 35617708, 56319375, 86565808, 129780448, 190285326, 273509446, 386137220, 536375658, 734131552, 991339307, 1322171256, 1743437850, 2274824006, 2939374683 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..27.

FORMULA

a(n) = 7*n*A256287(n).

EXAMPLE

For n=2 there are 15 partitions of 7*2 = 14, so a(2) = 15*14 = 210.

MATHEMATICA

Plus @@ Total /@ IntegerPartitions[7 #, {7}] & /@ Range[0, 24] (* Michael De Vlieger, Mar 21 2015 *)

PROG

(PARI) concat(0, vector(35, n, k=0; forpart(p=7*n, k++, , [7, 7]); 7*n*k))

CROSSREFS

Cf. A235988, A238328, A256235, A256287.

Sequence in context: A275822 A065819 A241649 * A302107 A061028 A012862

Adjacent sequences:  A256285 A256286 A256287 * A256289 A256290 A256291

KEYWORD

nonn

AUTHOR

Colin Barker, Mar 21 2015

STATUS

approved

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Last modified August 8 04:32 EDT 2020. Contains 336290 sequences. (Running on oeis4.)