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A015754 Number of partitions of n into distinct parts, none being 7. 8
1, 1, 1, 2, 2, 3, 4, 4, 5, 7, 8, 10, 12, 14, 18, 22, 25, 30, 36, 42, 50, 58, 67, 79, 92, 106, 123, 142, 164, 189, 217, 248, 284, 325, 370, 421, 479, 543, 616, 698, 788, 890, 1005, 1131, 1273, 1432, 1606, 1802, 2020, 2259, 2527, 2824, 3150, 3514, 3916, 4358, 4849 (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) = A015742(n+7). - Michel Marcus, Feb 20 2014

MATHEMATICA

CoefficientList[Series[Product[1+q^n, {n, 1, 60}]/(1+q^7), {q, 0, 60}], q]

Table[Count[Select[IntegerPartitions[n], DeleteDuplicates[#] == # &], x_ /; ! MemberQ[x, 7]], {n, 0, 56}] (* Robert Price, May 18 2020 *)

CROSSREFS

Cf. A025147, A015744, A015745, A015746, A015750, A015753, A015755.

Sequence in context: A141271 A097793 A015742 * A207613 A321424 A289677

Adjacent sequences:  A015751 A015752 A015753 * A015755 A015756 A015757

KEYWORD

nonn

AUTHOR

Clark Kimberling

EXTENSIONS

Corrected and extended by Dean Hickerson, Oct 10 2001

STATUS

approved

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Last modified May 18 05:01 EDT 2021. Contains 343994 sequences. (Running on oeis4.)