A260677 a(n) = number of decimal digits in the n-th odd Catalan number A038003(n).

1, 1, 1, 3, 7, 17, 35, 74, 150, 304, 612, 1228, 2460, 4926, 9857, 19721, 39449, 78905, 157818, 315644, 631296, 1262601, 2525212, 5050435, 10100879, 20201769, 40403550, 80807112, 161614235, 323228483, 646456979, 1292913972, 2585827958, 5171655931, 10343311876

Offset: 0

Author

L. Edson Jeffery, Nov 15 2015

Keywords

• nonn
• base

Links

• Jon E. Schoenfield, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A000108, A038003.

Programs

Magma

[Floor((LogGamma(2^(j+1)-1)-2*LogGamma(2^j)-Log(2^j))/Log(10))+1: j in [0..34]]; // Jon E. Schoenfield, Nov 21 2015

Magma

[Floor(Log(Catalan(2^n-1))/Log(10)) + 1: n in [0..20]]; // Vincenzo Librandi, Nov 22 2015

Mathematica

Table[Floor[Log[CatalanNumber[2^n - 1]]/Log[10]] + 1, {n, 0, 27}]
f[n_] := Floor[(LogGamma[2^(n + 1) - 1] - 2*LogGamma[2^n] - n*Log[2])/Log[10]] + 1; Array[f, 34, 0] (* Robert G. Wilson v, Nov 21 2015 *)

Extensions

a(28)-a(34) from Jon E. Schoenfield, Nov 21 2015