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A015753 Number of partitions of n into distinct parts, none being 6. 9
1, 1, 1, 2, 2, 3, 3, 4, 5, 6, 8, 9, 12, 14, 17, 21, 24, 29, 34, 40, 47, 55, 65, 75, 88, 102, 118, 137, 157, 181, 208, 238, 272, 311, 355, 404, 460, 522, 592, 671, 758, 856, 966, 1088, 1224, 1377, 1546, 1734, 1944, 2176, 2434, 2720, 3036, 3386, 3774, 4202, 4674 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,4

COMMENTS

a(n) = A015741(n+6). - Alois P. Heinz, Aug 24 2011

LINKS

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

MATHEMATICA

CoefficientList[Series[Product[1+q^n, {n, 1, 60}]/(1+q^6), {q, 0, 60}], q]

Table[Count[Select[IntegerPartitions[n], DeleteDuplicates[#] == # &], x_ /; ! MemberQ[x, 6]], {n, 0, 56}] (* Robert Price, May 18 2020 *)

CROSSREFS

Cf. A025147, A015744, A015745, A015746, A015750, A015754, A015755.

Sequence in context: A096792 A335746 A015741 * A005686 A328675 A118082

Adjacent sequences:  A015750 A015751 A015752 * A015754 A015755 A015756

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.)