A241754 - OEIS

%I #8 May 15 2014 16:58:37

%S 132,264,396,35964,4799520,839991600,1511984880,332639667360,

%T 86486391351360,151351184864880,46126079538739200,

%U 27427196132572803840,18050376958194962304000,7828706350001712936499200,8540406927274595930726400

%N Numbers n equal to the sum of all numbers created from permutations of d digits sampled from n, for some d with 1 <= d < length(n).

%H Anthony Sand, <a href="/A241754/b241754.txt">Table of n, a(n) for n = 1..22</a>

%F For a number n with d1 digits there are d1Pd2 = d1!/(d1-d2)! substrings generated by sampling and permutating d2 digits from the original number. When n=132 and d2=2, these substrings are 13, 31, 32, 23, 12, 21. When n=112 and d2=2, the substrings are 11, 11, 12, 21, 12, 21. Sum(x,d) is defined as the sum of d-digit substrings for a number x. The sequence above is those numbers such that sum(x,d) = x, where d = 2, 2, 2, 3, 4, 5, 5, 6, 7, 7, 8, 9, 10, 11, 11, 11, 12, 12, 13, 13, 14, 14.

%e sum(132,2) = 13 + 31 + 32 + 23 + 12 + 21 = 132.

%K base,nonn

%O 1,1

%A _Anthony Sand_, Apr 28 2014