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A276510 Numbers n such that the sum of all the different permutations of the digits of n (A045876(n)) is a pandigital number (a member of A171102). 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified April 19 13:00 EDT 2021. Contains 343114 sequences. (Running on oeis4.)