A276510 Numbers k such that the sum of all the different permutations of the digits of k (A045876(k)) is a pandigital number (a term of A171102).

10234567, 10234576, 10234579, 10234597, 10234657, 10234675, 10234678, 10234687, 10234756, 10234759, 10234765, 10234768, 10234786, 10234795, 10234867, 10234876, 10234957, 10234975, 10235467, 10235476, 10235479, 10235497, 10235647, 10235674, 10235746, 10235749

Offset

1,1

Links

Table of n, a(n) for n=1..26.

Example

10234759 is a term because A045876(10234759) = 1567999984320, which contains every digit from 0 to 9.

Prog

(PARI) A047726(n) = n=eval(Vec(Str(n))); (#n)!/prod(i=0, 9, sum(j=1, #n, n[j]==i)!);
A055642(n) = #Str(n);
A007953(n) = sumdigits(n);
A045876(n) = ((10^A055642(n)-1)/9)*(A047726(n)*A007953(n)/A055642(n));
isA171102(n) = 9<#vecsort(Vecsmall(Str(n)), , 8);
is(n) = isA171102(A045876(n));

Crossrefs

Cf. A045876, A171102.

Sequence in context: A325607 A282873 A219743 * A235696 A074665 A235160

Adjacent sequences: A276507 A276508 A276509 * A276511 A276512 A276513

Keyword

nonn,base

Author

Altug Alkan, Sep 06 2016

Status

approved