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A015745 Number of partitions of n into distinct parts, none being 3. 9
1, 1, 1, 1, 1, 2, 3, 4, 4, 5, 6, 8, 10, 12, 14, 17, 20, 24, 29, 34, 40, 47, 55, 64, 75, 87, 101, 117, 135, 155, 179, 205, 235, 269, 307, 350, 399, 453, 514, 583, 660, 746, 843, 950, 1070, 1205, 1354, 1520, 1705, 1910, 2138, 2392, 2672, 2982, 3326, 3706, 4126 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,6

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = A015737(n+3). - Michel Marcus, Feb 20 2014

a(n) ~ exp(Pi*sqrt(n/3)) / (8*3^(1/4)*n^(3/4)). - Vaclav Kotesovec, Oct 30 2015

MATHEMATICA

CoefficientList[Series[Product[1+q^n, {n, 1, 60}]/(1+q^3), {q, 0, 60}], q]

Table[Count[Select[IntegerPartitions[n], DeleteDuplicates[#] == # &], x_ /; ! MemberQ[x, 3]], {n, 0, 56}] (* Robert Price, May 17 2020 *)

CROSSREFS

Cf. A025147, A015744, A015746, A015750, A015753, A015754, A015755.

Sequence in context: A049877 A029063 A015737 * A017854 A261171 A330264

Adjacent sequences:  A015742 A015743 A015744 * A015746 A015747 A015748

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Corrected and extended by Dean Hickerson, Oct 10, 2001

STATUS

approved

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Last modified May 10 04:16 EDT 2021. Contains 343748 sequences. (Running on oeis4.)