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A086159
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Number of partitions of n into the first three triangular numbers, 1, 3 and 6.
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0
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1, 1, 1, 2, 2, 2, 4, 4, 4, 6, 6, 6, 9, 9, 9, 12, 12, 12, 16, 16, 16, 20, 20, 20, 25, 25, 25, 30, 30, 30, 36, 36, 36, 42, 42, 42, 49, 49, 49, 56, 56, 56, 64, 64, 64, 72, 72, 72, 81, 81, 81, 90, 90, 90, 100, 100, 100, 110, 110, 110, 121, 121, 121, 132, 132, 132
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OFFSET
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0,4
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (1,0,1,-1,0,1,-1,0,-1,1).
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FORMULA
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G.f.: 1/((1-x)*(1-x^3)*(1-x^6)).
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MATHEMATICA
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LinearRecurrence[{1, 0, 1, -1, 0, 1, -1, 0, -1, 1}, {1, 1, 1, 2, 2, 2, 4, 4, 4, 6}, 100] (* Amiram Eldar, Feb 14 2023 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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Jan Snellman (Jan.Snellman(AT)math.su.se), Aug 25 2003
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STATUS
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approved
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