A269223 Factorial of the sum of digits of n in base 3.

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

Offset: 0

Author

M. F. Hasler, Mar 15 2016

Keywords

• nonn
• base

Comments

Sequence A093659 is the binary (base 2) and sequence A269221 is the decimal (base 10) version.

Crossrefs

Cf. A000142, A053735, A166350, A093659.

Programs

Mathematica

Table[Total[IntegerDigits[n, 3]]!, {n, 0, 70}] (* Michael De Vlieger, Mar 15 2016 *)

PARI

A269223(n)=sumdigits(n,3)! \\ sumdigits(.,3) requires version > 2.7.1; see A053735 for a substitute.

PARI

a(n) = vecsum(digits(n,3))!; \\ Michel Marcus, Mar 15 2016

Formula

a(n) = A000142(A053735(n)).