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A129491 Digital sum of the 2^n-th Partition number. 1
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; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For the same sequence but for base 10 (A070177): 1,6,43,143,471,1511,4959,15914,49580,158148,501883,1582908,5014367,....

LINKS

Table of n, a(n) for n=1..40.

FORMULA

a(n) =~ 9*A129490(n)/2.

EXAMPLE

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.

MATHEMATICA

f[n_] := Plus @@ IntegerDigits @PartitionsP[2^n]; Table[ f@n, {n, 0, 42}]

CROSSREFS

Cf. A000041, A068413, A129490.

Sequence in context: A114557 A085347 A066337 * A021801 A102513 A100116

Adjacent sequences: A129488 A129489 A129490 * A129492 A129493 A129494

KEYWORD

base,nonn

AUTHOR

Robert G. Wilson v, Apr 12 2007

STATUS

approved

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Last modified December 7 15:01 EST 2022. Contains 358667 sequences. (Running on oeis4.)