A135250 a(n) = number of digits in the decimal expansion of A046967(n).

1, 1, 5, 32, 348, 4520, 76840, 1459949, 33578823, 973785863, 30187361738, 1116932384273, 45794227755181, 1969151793472765, 92550134293219955, 4905157117540657588, 289404269934898797687, 17653660466028826658882, 1182795251223931386145053, 83978462836899128416298742

Offset

1,3

Comments

All the terms in A046967 are of the form 2^k.

Links

Table of n, a(n) for n=1..20.

Formula

From Amiram Eldar, Oct 13 2024: (Start)

a(n) = A055642(A046967(n)).

a(n) = floor(log_10(2) * A070826(n)). (End)

Mathematica

a = {}; c = 2; Do[d = Length[IntegerDigits[c, 10]]; c = c^Prime[n]; AppendTo[a, d], {n, 2, 9}]; a
IntegerLength/@RecurrenceTable[{a[1]==2, a[n]==a[n-1]^Prime[n]}, a[n], {n, 9}] (* Harvey P. Dale, Jul 18 2011 *)
1 + Floor[Log10[2] * FoldList[Times, 1, Prime[Range[2, 20]]]] (* Amiram Eldar, Oct 12 2024 *)

Crossrefs

Cf. A007524, A046967, A055642, A070826, A135249.

Sequence in context: A109780 A093448 A094653 * A006926 A185136 A014374

Adjacent sequences: A135247 A135248 A135249 * A135251 A135252 A135253

Keyword

base,nonn

Author

Artur Jasinski, Nov 24 2007

Extensions

a(9) from Harvey P. Dale, Jul 18 2011

More terms from Amiram Eldar, Oct 12 2024

Status

approved