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A350636
a(n) is the number of partitions of n in which no part is divisible by 3 minus the number of basis partitions of n.
1
0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 6, 7, 10, 12, 17, 20, 28, 34, 45, 55, 72, 87, 111, 133, 167, 200, 247, 295, 362, 431, 523, 621, 749, 885, 1059, 1247, 1482, 1739, 2055, 2402, 2826, 3293, 3855, 4479, 5225, 6051, 7032, 8123, 9406, 10837, 12509, 14372, 16541, 18960, 21756, 24880, 28477
OFFSET
0,9
COMMENTS
Andrews conjectures that a(n)>0 for n>3.
LINKS
George E. Andrews, Partition Identities for Two-Color Partitions, Hardy-Ramanujan Journal, Hardy-Ramanujan Society, 2021, Special Commemorative volume in honour of Srinivasa Ramanujan, 2021, 44, pp.74-80. hal-03498190. See p. 79.
FORMULA
a(n) = A000726(n) - A066447(n).
CROSSREFS
Sequence in context: A376821 A333885 A270060 * A078565 A211541 A026926
KEYWORD
nonn
AUTHOR
Michel Marcus, Jan 09 2022
STATUS
approved