A114001 Rows of A114000 expressed as decimals (a sequence related to the number of divisors of 2n-1).

1, 3, 5, 9, 25, 33, 65, 225, 257, 513, 1665, 2049, 5121, 12801, 16385, 32769, 100353, 180225, 262145, 794625, 1048577, 2097153, 7634945, 8388609, 18874369, 50462721, 67108865, 171966465, 403177473, 536870913, 1073741825

Offset

0,2

Links

Paolo Xausa, Table of n, a(n) for n = 0..1000

Example

a(5)=25 converts to 11001 in binary, which has sum of digits equal to 3, and 9=2*5-1 has 3 divisors.

Mathematica

A114001[n_]:=FromDigits[Boole[Divisible[2n+1, 2Range[0, n]+1]], 2];
Array[A114001, 50, 0] (* Paolo Xausa, Dec 04 2023 *)

Crossrefs

Cf. A114000, A099774 (binary weight), A339916 (bit reversal).

Sequence in context: A006722 A251413 A039774 * A306838 A171879 A171877

Adjacent sequences: A113998 A113999 A114000 * A114002 A114003 A114004

Keyword

easy,nonn

Author

Paul Barry, Nov 12 2005

Extensions

Edited by N. J. A. Sloane, Dec 23 2020

Offset changed to 0 by Paolo Xausa, Dec 04 2023

Status

approved