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A294114 Sum of the larger parts of the partitions of 2n into two parts with smaller part prime. 1
0, 2, 7, 11, 20, 26, 39, 47, 55, 63, 82, 92, 115, 127, 139, 151, 180, 194, 227, 243, 259, 275, 314, 332, 350, 368, 386, 404, 451, 471, 522, 544, 566, 588, 610, 632, 691, 715, 739, 763, 828, 854, 923, 951, 979, 1007, 1082, 1112, 1142, 1172, 1202, 1232, 1315 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Table of n, a(n) for n=1..53.

Index entries for sequences related to partitions

FORMULA

a(n) = Sum_{i=1..n} (2n - i) * A010051(i).

MATHEMATICA

Table[Sum[(2 n - i) (PrimePi[i] - PrimePi[i - 1]), {i, n}], {n, 80}]

CROSSREFS

Cf. A010051, A294113.

Sequence in context: A141183 A103182 A160698 * A144707 A045373 A075431

Adjacent sequences:  A294111 A294112 A294113 * A294115 A294116 A294117

KEYWORD

nonn,easy

AUTHOR

Wesley Ivan Hurt, Oct 22 2017

STATUS

approved

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Last modified February 21 15:11 EST 2019. Contains 320374 sequences. (Running on oeis4.)