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 A276590 Pandigital numbers n such that sum of all permutations of digits of n is also a pandigital number. Sequence lists the least ones of corresponding permutational classes. 1
 10234567889, 100223456789, 100234566789, 100234567889, 101234556789, 101234567789, 102234456789, 102234566789, 102334556789, 102334567899, 102344456789, 102344567889, 102345567789, 102345666789, 102345677789, 102345678899, 1000223456789, 1000234456789, 1000234566789 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The least pandigital number in A276510 is 10234567889. Each member of the sequence has digits in increasing order except that the first digit is 1. The sequence has 1 member with 11 digits, 15 with 12 digits, 90 with 13 digits, 261 with 14 digits and 1190 with 15 digits. LINKS Robert Israel, Table of n, a(n) for n = 1..1557 EXAMPLE 100223456789 is a term because A045876(100223456789) = 52113599999947886400 is pandigital. MAPLE pandig:= n -> evalb(nops(convert(convert(n, base, 10), set))=10): sump:= proc(x) local L, D, n, M, s, j; L:= convert(x, base, 10); D:= [seq(numboccur(j, L), j=0..9)]; n:= nops(L); M:= n!/mul(d!, d=D); s:= add(j*D[j+1], j=0..9); (10^n-1)*M/9/n*s end proc: n0:= 1023456789: rep:= proc(n) local L, n0, i; L:= sort(convert(n, base, 10)); n0:= numboccur(0, L); L:= subsop(1=1, n0+1=0, L); add(L[-i-1]*10^(i), i=0..nops(L)-1); end proc: sort(convert(map(rep, select(pandig @ sump, {seq(seq(n0*10^d+x, x=0..10^d-1), d=0..3)})), list)); CROSSREFS Cf. A045876, A171102, A276510. Sequence in context: A159292 A144648 A098143 * A259152 A371361 A135047 Adjacent sequences: A276587 A276588 A276589 * A276591 A276592 A276593 KEYWORD nonn,base AUTHOR Robert Israel and Altug Alkan, Sep 06 2016 STATUS approved

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Last modified September 12 19:24 EDT 2024. Contains 375853 sequences. (Running on oeis4.)