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A240856     Number of partitions p of n into distinct parts not including 2*(number of parts). 2
0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 2, 3, 3, 3, 4, 5, 6, 8, 10, 10, 13, 14, 17, 20, 24, 28, 33, 38, 44, 50, 58, 66, 76, 88, 100, 116, 132, 150, 170, 194, 219, 248, 280, 316, 358, 404, 453, 512, 574, 644, 723, 809, 904, 1010, 1128, 1258, 1404, 1563, 1738, 1934 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,10

LINKS

Table of n, a(n) for n=0..59.

FORMULA

a(n) + A240856(n) = A000009(n) for n >= 0.

EXAMPLE

a(12) = counts these 3 partitions:  84, 651, 642.

MATHEMATICA

z = 40; f[n_] := f[n] = Select[IntegerPartitions[n], Max[Length /@ Split@#] == 1 &]; Table[Count[f[n], p_ /; MemberQ[p, 2*Length[p]]], {n, 0, z}] (* A240856 *)

CROSSREFS

Cf. A240854.

Sequence in context: A262950 A227398 A003105 * A081166 A173910 A036846

Adjacent sequences:  A240853 A240854 A240855 * A240857 A240858 A240859

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Apr 14 2014

STATUS

approved

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Last modified August 12 17:17 EDT 2020. Contains 336439 sequences. (Running on oeis4.)