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A035451
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Number of partitions of n into parts congruent to 1 mod 4.
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3
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1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 4, 5, 6, 7, 7, 8, 10, 11, 12, 13, 15, 17, 18, 20, 23, 26, 28, 30, 34, 38, 41, 44, 49, 55, 60, 64, 70, 78, 85, 91, 99, 109, 119, 128, 138, 151, 164, 176, 190, 207, 225, 241, 259, 281, 304, 326, 349, 377, 408, 437, 467, 503, 542, 581
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,6
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FORMULA
| G.f.: 1/prod(k>=0, 1-x^(4*k+1)). - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 22 2002
G.f.: sum(n>=0, x^n / prod(k=1..n, 1-x^(4*k) ) ). [Joerg Arndt, Apr 7 2011]
G.f.: 1 + sum(n>=0, x^(4*n+1) / prod(k>=n, 1-x^(4*k+1) ) ) = 1 + sum(n>=0, x^(4*n+1) / prod(k=0..n, 1-x^(4*k+1) ) ). [Joerg Arndt, Apr 8 2011]
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CROSSREFS
| Cf. A035462, A035382.
Sequence in context: A025774 A001156 A199119 * A124746 A124789 A103372
Adjacent sequences: A035448 A035449 A035450 * A035452 A035453 A035454
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KEYWORD
| nonn
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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EXTENSIONS
| Offset changed by N. J. A. Sloane, Apr 11 2010
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