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A256288 Sum of all the parts in the partitions of 7n into 7 parts. 1

%I

%S 0,7,210,2205,12208,47845,148638,393617,922600,1970325,3902360,

%T 7270725,12868128,21811881,35617708,56319375,86565808,129780448,

%U 190285326,273509446,386137220,536375658,734131552,991339307,1322171256,1743437850,2274824006,2939374683

%N Sum of all the parts in the partitions of 7n into 7 parts.

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

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

%t Plus @@ Total /@ IntegerPartitions[7 #, {7}] & /@ Range[0, 24] (* _Michael De Vlieger_, Mar 21 2015 *)

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

%Y Cf. A235988, A238328, A256235, A256287.

%K nonn

%O 0,2

%A _Colin Barker_, Mar 21 2015

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Last modified January 29 13:51 EST 2023. Contains 359923 sequences. (Running on oeis4.)