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

Author

Jaroslav Krizek, Apr 10 2015

Keywords

• nonn
• base
• fini
• full

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).

Examples

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

Links

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

Crossrefs

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

Programs

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