A171609 a(2*n) = (n+1)*a(n), a(2*n+1) = (n+1)*a(n+1), with a(1) = 1.

1, 2, 4, 6, 12, 16, 24, 30, 60, 72, 96, 112, 168, 192, 240, 270, 540, 600, 720, 792, 1056, 1152, 1344, 1456, 2184, 2352, 2688, 2880, 3600, 3840, 4320, 4590, 9180, 9720, 10800, 11400, 13680, 14400, 15840, 16632, 22176, 23232, 25344, 26496, 30912, 32256, 34944, 36400, 54600, 56784

Offset: 1

Author

Gary W. Adamson, Dec 12 2009

Keywords

• nonn

Comments

The left column of the matrix powers A171608^n in the limit n->oo. (The other columns all become 0.)

Examples

			The cube of A171608 starts
   1  0  0  0  0  0  0  0  0  0
   2  0  0  0  0  0  0  0  0  0
   4  0  0  0  0  0  0  0  0  0
   6  0  0  0  0  0  0  0  0  0
  12  0  0  0  0  0  0  0  0  0
  16  0  0  0  0  0  0  0  0  0
  24  0  0  0  0  0  0  0  0  0
  30  0  0  0  0  0  0  0  0  0
   0 30  0  0  0  0  0  0  0  0
   0 36  0  0  0  0  0  0  0  0
... and the first 8 entries of the left column are already "converged." - _R. J. Mathar_, Sep 23 2021
		

Crossrefs

Cf. A003602, A171608

Programs

PARI

{a(n) = if(n < 2, n==0, (n\2 + 1)*a((n+1)\2))}; /* Michael Somos, Dec 27 2022 */

Formula

Limit_{n->oo} (A171608)^n, a left-shifted vector considered as a sequence.

a(n+1) = a(n) * (1 + 1/A003602(n)). - Michael Somos, Dec 27 2022

Extensions

More terms from R. J. Mathar, Sep 23 2021

Name changed by Michael Somos, Dec 27 2022