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A015755 Number of partitions of n into distinct parts, none being 8. 8
1, 1, 1, 2, 2, 3, 4, 5, 5, 7, 9, 10, 13, 15, 18, 22, 27, 31, 37, 44, 51, 61, 71, 82, 95, 111, 128, 148, 171, 195, 225, 258, 295, 337, 384, 437, 497, 565, 639, 724, 818, 923, 1042, 1173, 1319, 1483, 1665, 1866, 2092, 2341, 2616, 2924, 3263, 3637, 4053, 4512, 5016 (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) = A015743(n+8). - Michel Marcus, Feb 20 2014

a(n) = A000009(n) - a(n-8) for n >= 0, a(n) = 0 otherwise. - Yuchun Ji, Dec 25 2018

MATHEMATICA

CoefficientList[Series[Product[1+q^n, {n, 1, 60}]/(1+q^8), {q, 0, 60}], q]

Table[Count[Select[IntegerPartitions[n], DeleteDuplicates[#] == # &], x_ /; ! MemberQ[x, 8]], {n, 0, 56}] (* Robert Price, May 18 2020 *)

CROSSREFS

Cf. A025147, A015744, A015745, A015746, A015750, A015753, A015754.

Sequence in context: A325096 A261771 A015743 * A096443 A126442 A129306

Adjacent sequences:  A015752 A015753 A015754 * A015756 A015757 A015758

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Corrected and extended by Dean Hickerson, Oct 10 2001

STATUS

approved

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Last modified May 12 07:28 EDT 2021. Contains 343821 sequences. (Running on oeis4.)