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Number of digits in the decimal expansion of the number of partitions of 2^n.
6

%I #10 Nov 07 2023 03:15:45

%S 1,1,1,2,3,4,7,10,15,22,32,47,67,97,138,197,280,398,565,801,1134,1607,

%T 2275,3219,4555,6445,9118,12898,18243,25803,36494,51615,72998,103238,

%U 146005,206486,292020,412982,584050,825975,1168110,1651962,2336232

%N Number of digits in the decimal expansion of the number of partitions of 2^n.

%C For the same sequence but for base 10 (A070177): A077644.

%F See A000041: (Hardy and Ramanujan) & (Ayoub, p. 197).

%F a(n) = A055642(A068413(n)).

%F a(n) =~ 2*A129491(n)/9.

%t f[n_] := Floor[ Log[10, PartitionsP[2^n]] + 1]; Table[ f@n, {n, 0, 42}]

%Y Cf. A000041, A068413, A077644, A129491.

%K base,nonn

%O 0,4

%A _Robert G. Wilson v_, Apr 11 2007

%E Missing a(0) prepended by _Georg Fischer_, Nov 06 2023