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Search: id:A129490
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| A129490 |
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Number of digits in the decimal expansion of the number of partitions of 2^n. |
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+0
2
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| 1, 1, 2, 3, 4, 7, 10, 15, 22, 32, 47, 67, 97, 138, 197, 280, 398, 565, 801, 1134, 1607, 2275, 3219, 4555, 6445, 9118, 12898, 18243, 25803, 36494, 51615, 72998, 103238, 146005, 206486, 292020, 412982, 584050, 825975, 1168110, 1651962, 2336232
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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For the same sequence but for base 10 (A070177): 1,2,9,32,107,347,1108,3515,11132,35219,111391,352269,1113996,....
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FORMULA
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See A000041: (Hardy and Ramanujan) & (Ayoub, p. 197).
a(n)=Floor( Log_10( A068413(n)) +1) =~ 2*A129491(n)/9.
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MATHEMATICA
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f[n_] := Floor[ Log[10, PartitionsP[2^n]] + 1]; Table[ f@n, {n, 0, 42}]
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CROSSREFS
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Cf. A000041, A068413, A129491.
Sequence in context: A056518 A039841 A078159 this_sequence A018132 A100638 A033320
Adjacent sequences: A129487 A129488 A129489 this_sequence A129491 A129492 A129493
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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 11 2007
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