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A234097 Combined weight, as defined at A244094, of the partitions of n. 5


%S 1,5,14,36,74,153,275,497,832,1383,2182,3446,5213,7872,11563,16899,

%T 24155,34422,48146,67117,92239,126222,170721,230113,306990,408110,

%U 538067,706834,921862,1198453,1548054,1993462,2552970,3259507,4141423,5247231,6618965

%N Combined weight, as defined at A244094, of the partitions of n.

%C These are the row sums of the array at A234094, where weight is defined.

%t z = 40; p[n_] := p[n] = IntegerPartitions[n]; q[n_] := q[n] = Length[p[n]]; v[n_] := v[n]; w[n_, h_] := w[n, h] = Dot[p[n][[h]], v[Length[p[n][[h]]]]]; a[n_] := Sum[w[n, h], {h, 1, q[n]}]; t = Table[a[n], {n, 1, z}]

%Y Cf. A244094, A234922, A234924.

%K nonn,easy

%O 1,2

%A _Clark Kimberling_, Jan 01 2014

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Last modified January 18 01:05 EST 2020. Contains 330995 sequences. (Running on oeis4.)