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A015746 Number of partitions of n into distinct parts, none being 4. 9
1, 1, 1, 2, 1, 2, 3, 3, 5, 6, 7, 9, 10, 12, 15, 18, 22, 26, 31, 36, 42, 50, 58, 68, 80, 92, 107, 124, 142, 164, 189, 216, 248, 284, 323, 369, 420, 476, 541, 613, 693, 784, 885, 997, 1123, 1264, 1419, 1593, 1787, 2000, 2239, 2504, 2795, 3120, 3479, 3874, 4313 (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) = A015739(n+4). - Michel Marcus, Feb 20 2014

MATHEMATICA

CoefficientList[Series[Product[1+q^n, {n, 1, 60}]/(1+q^4), {q, 0, 60}], q]

Table[Count[Select[IntegerPartitions[n], DeleteDuplicates[#] == # &], x_ /; ! MemberQ[x, 4]], {n, 0, 56}] (* Robert Price, May 17 2020 *)

CROSSREFS

Cf. A025147, A015744, A015745, A015750, A015753, A015754, A015755.

Sequence in context: A239493 A331849 A015739 * A109266 A022876 A242692

Adjacent sequences:  A015743 A015744 A015745 * A015747 A015748 A015749

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Corrected and extended by Dean Hickerson, Oct 10, 2001

STATUS

approved

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Last modified April 19 02:17 EDT 2021. Contains 343105 sequences. (Running on oeis4.)