A269224 Factorial of the sum of digits of n in base 4.

1, 1, 2, 6, 1, 2, 6, 24, 2, 6, 24, 120, 6, 24, 120, 720, 1, 2, 6, 24, 2, 6, 24, 120, 6, 24, 120, 720, 24, 120, 720, 5040, 2, 6, 24, 120, 6, 24, 120, 720, 24, 120, 720, 5040, 120, 720, 5040, 40320, 6, 24, 120, 720, 24, 120, 720, 5040, 120, 720, 5040, 40320, 720, 5040, 40320

Offset: 0

Author

M. F. Hasler, Mar 15 2016

Keywords

• nonn
• base

Comments

See sequences A093659, A269223 and A269221 for the base 2, base 3 and base 10 analog.

Crossrefs

Cf. A000142, A053737, A166350, A093659, A269223, A269221.

Programs

Mathematica

Table[Total[IntegerDigits[n, 4]]!, {n, 0, 62}] (* Michael De Vlieger, Mar 15 2016 *)

PARI

A269224(n)=sumdigits(n,4)! \\ sumdigits(.,4) requires version >= 2.7; see A053737 for a substitute.

PARI

a(n) = vecsum(digits(n,4))!; \\ Michel Marcus, Mar 15 2016

Formula

a(n) = A000142(A053737(n)).