A065583 Sum of numbers which in base n have (n-1) distinct nonzero digits.

0, 1, 12, 252, 9360, 559800, 49412160, 6039794880, 976299609600, 201599999798400, 51766949513664000, 16177372653293913600, 6044902527410562816000, 2661334524326601925401600, 1363387181797265578297344000, 804077813274862776803112960000, 540880443323184957954046525440000

Offset

1,3

Links

G. C. Greubel, Table of n, a(n) for n = 1..230

Formula

a(n) = n!*(n^(n-1)-1)/(2*(n-1)) = A001710(n)*A060072(n).

Example

a(4) = 252 since we need to sum the base 4 numbers 123, 132, 213, 231, 312 and 321, i.e. the decimal sum 27+30+39+45+54+57 = 252.

Mathematica

Table[If[n==1, 0, n!*(n^(n-1) -1)/(2*(n-1))], {n, 30}] (* G. C. Greubel, Aug 16 2022 *)

Prog

(Magma) [n eq 1 select 0 else Factorial(n)*(n^(n-1)-1)/(2*(n-1)): n in [1..30]]; // G. C. Greubel, Aug 16 2022
(SageMath) [0]+[factorial(n)*(n^(n-1)-1)/(2*(n-1)) for n in (2..30)] # G. C. Greubel, Aug 16 2022

Crossrefs

Cf. A001710, A060072.

Sequence in context: A289565 A198475 A035013 * A129585 A034672 A133285

Adjacent sequences: A065580 A065581 A065582 * A065584 A065585 A065586

Keyword

base,nonn

Author

Henry Bottomley, Nov 28 2001

Extensions

More terms from Benoit Cloitre, Jan 31 2002

More terms from G. C. Greubel, Aug 16 2022

Status

approved