A268359 - OEIS

A268359

Sum of median parts of all partitions of n into an odd number of distinct parts.

0, 1, 2, 3, 4, 5, 8, 9, 13, 17, 22, 27, 37, 43, 55, 70, 84, 101, 127, 150, 183, 220, 261, 311, 374, 438, 517, 612, 718, 837, 985, 1141, 1329, 1544, 1786, 2065, 2387, 2739, 3152, 3620, 4149, 4737, 5421, 6173, 7034, 8004, 9087, 10303, 11686, 13209, 14936, 16861

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OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

EXAMPLE

a(11) = 27: partitions of 11 into an odd number of distinct parts are [5,4,2], [6,3,2], [6,4,1], [7,3,1], [8,2,1], [11], sum of median parts is 4+3+4+3+2+11 = 27.

CROSSREFS

Cf. A211373.

Sequence in context: A094103 A349412 A317082 * A329203 A054181 A329563

Adjacent sequences: A268356 A268357 A268358 * A268360 A268361 A268362

KEYWORD

nonn

AUTHOR

Alois P. Heinz, Feb 02 2016

STATUS

approved