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Search: id:A129491
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| A129491 |
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Digital sum of the 2^n_th Partition number. |
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+0
2
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| 1, 2, 5, 4, 6, 24, 22, 34, 83, 120, 152, 145, 286, 477, 561, 796, 1271, 1639, 2471, 3598, 5114, 7221, 10283, 14315, 20585, 29110, 40890, 58834, 82319, 115690, 164128, 232044, 328463, 462853, 657811, 927235, 1311605, 1855787, 2629927, 3708205
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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For the same sequence but for base 10 (A070177): 1,6,43,143,471,1511,4959,15914,49580,158148,501883,1582908,5014367,....
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FORMULA
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a(n) =~ 9*A129490(n)/2.
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EXAMPLE
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a(9} = 120 since P(2^9) = 4453575699570940947378 and 4+4+5+3+5+7+5+6+9+9+5+7+0+9+4+0+9+4+7+3+7+8 = 120.
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MATHEMATICA
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f[n_] := Plus @@ IntegerDigits @PartitionsP[2^n]; Table[ f@n, {n, 0, 42}]
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CROSSREFS
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Cf. A000041, A068413, A129490.
Sequence in context: A114557 A085347 A066337 this_sequence A021801 A102513 A100116
Adjacent sequences: A129488 A129489 A129490 this_sequence A129492 A129493 A129494
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KEYWORD
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base,nonn
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Apr 12 2007
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