A256825 Numbers with digits in strictly decreasing order containing digit 1.

1, 10, 21, 31, 41, 51, 61, 71, 81, 91, 210, 310, 321, 410, 421, 431, 510, 521, 531, 541, 610, 621, 631, 641, 651, 710, 721, 731, 741, 751, 761, 810, 821, 831, 841, 851, 861, 871, 910, 921, 931, 941, 951, 961, 971, 981, 3210, 4210, 4310, 4321, 5210, 5310, 5321

Offset

1,2

Comments

a(n) = possible values of A256824(m) in increasing order where A256824(m) = reverse concatenation of distinct digits of all divisors of m in base 10.

There are precisely 512 terms. Maximal term is 9876543210.

Subsequence of A009995 (numbers with digits in strictly decreasing order).

See A256826 - the smallest number k such that A256824(k) = a(n).

Links

Jaroslav Krizek, Table of n, a(n) for n = 1..512 (complete list)

Example

21 is in sequence because there are numbers m such that A256824(m) = 21 (for m = 2, 22, 121, 211, 2111, ...).

Prog

(Excel) [Row n = 1 … 1023; Column A: A(n) = A009995(n); Column B: B(n) =  =IF(FIND("1"; A(n); 1)>0; A(n)); Arrangement of column B]
(PARI) lista(nn) = for (n=1, nn, if ((d = digits(n)) && ((sd=vecsort(d, , 8))==Vecrev(d)) && vecsearch(sd, 1), print1(n, ", "))); \\ Michel Marcus, Apr 11 2015

Crossrefs

Cf. A009995, A095050, A243534, A256824, A256826.

Sequence in context: A078209 A265415 A245071 * A190326 A185691 A042291

Adjacent sequences: A256822 A256823 A256824 * A256826 A256827 A256828

Keyword

nonn,base,fini,full

Author

Jaroslav Krizek, Apr 10 2015

Status

approved