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A035386
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Number of partitions of n into parts congruent to 2 mod 3.
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2
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1, 0, 1, 0, 1, 1, 1, 1, 2, 1, 3, 2, 3, 3, 4, 4, 6, 5, 7, 7, 9, 9, 12, 11, 15, 15, 18, 19, 23, 23, 29, 29, 35, 37, 43, 45, 53, 55, 64, 68, 78, 82, 95, 99, 114, 121, 136, 145, 164, 173, 196, 208, 232, 248, 276, 294, 328, 349, 386, 413, 456, 486, 537, 572, 629, 673, 737, 787
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,9
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COMMENTS
| a(n) = A116376(3*n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Feb 15 2006
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FORMULA
| a(n) = 1/n*Sum_{k=1..n} A078182(k)*a(n-k), a(0) = 1. - Vladeta Jovovic (vladeta(AT)eunet.rs), Nov 21 2002
Euler transform of period 3 sequence [ 0, 1, 0, ...]. - Michael Somos, Jul 24 2007
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PROG
| (PARI) {a(n)= if( n<0, 0, polcoeff( 1 / prod( k=1, n, 1 - (k%3==2) * x^k, 1 + x * O(x^n)), n))} /* Michael Somos, Jul 24 2007 */
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CROSSREFS
| Cf. A035382, A035451.
Sequence in context: A029200 A051274 A025797 * A029164 A053262 A007359
Adjacent sequences: A035383 A035384 A035385 * A035387 A035388 A035389
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KEYWORD
| nonn,changed
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AUTHOR
| Olivier Gerard (olivier.gerard(AT)gmail.com)
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