A055223 One-fourth the digital sum of base 5 representations of 2^n.

1, 1, 1, 1, 2, 1, 1, 2, 3, 3, 3, 3, 2, 3, 4, 5, 5, 5, 4, 3, 5, 6, 7, 5, 8, 8, 6, 8, 10, 10, 8, 6, 7, 8, 8, 10, 7, 9, 9, 10, 11, 10, 9, 10, 9, 11, 11, 11, 11, 12, 13, 13, 12, 14, 10, 14, 17, 15, 13, 13, 12, 15, 14, 16, 15, 12, 14, 15, 15, 16, 15, 15, 15, 16, 13, 12, 16, 17, 14, 20, 20, 20

Offset: 2

Author

Lekraj Beedassy, Jun 20 2000

Keywords

• nonn
• base

Examples

			a(19) = 4 because 2^20 = 1048576 = 232023301 (to scale 5) and (2+3+2+0+2+3+3+0+1)/4 = 4.
		

Crossrefs

Cf. A000866.

Programs

Mathematica

a[n_] := 1/4* Module[{aux = IntegerDigits[2^n, 5]},Sum[aux[[i]], {i, 1, Length[aux]}]]; Table[a[n], {n, 2, 83}] (* José María Grau Ribas, Feb 13 2010 *)

Extensions

More terms from James Sellers, Jul 04 2000