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A015750 Number of partitions of n into distinct parts, none being 5. 9
1, 1, 1, 2, 2, 2, 3, 4, 4, 6, 8, 9, 11, 14, 16, 19, 23, 27, 32, 38, 45, 53, 62, 72, 84, 97, 112, 130, 150, 172, 199, 228, 260, 298, 340, 386, 440, 500, 566, 642, 727, 820, 926, 1044, 1174, 1321, 1484, 1664, 1866, 2090, 2337, 2613, 2918, 3254, 3628, 4041, 4495 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

LINKS

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

FORMULA

a(n) = A015740(n+5). - Michel Marcus, Feb 20 2014

MATHEMATICA

CoefficientList[Series[Product[1+q^n, {n, 1, 60}]/(1+q^5), {q, 0, 60}], q]

Table[Count[Select[IntegerPartitions[n], DeleteDuplicates[#] == # &], x_ /; ! MemberQ[x, 5]], {n, 0, 56}] (* Robert Price, May 17 2020 *)

CROSSREFS

Cf. A025147, A015744, A015745, A015746, A015753, A015754, A015755.

Sequence in context: A274157 A005863 A015740 * A275442 A303846 A275446

Adjacent sequences:  A015747 A015748 A015749 * A015751 A015752 A015753

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Corrected and extended by Dean Hickerson, Oct 10 2001

STATUS

approved

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Last modified May 14 16:48 EDT 2021. Contains 343898 sequences. (Running on oeis4.)