A282134 First differences of A045876.

1, 1, 1, 1, 1, 1, 1, 1, 2, 0, 22, 11, 11, 11, 11, 11, 11, 11, -88, 11, -11, 33, 11, 11, 11, 11, 11, 11, -88, 11, 11, -22, 44, 11, 11, 11, 11, 11, -88, 11, 11, 11, -33, 55, 11, 11, 11, 11, -88, 11, 11, 11, 11, -44, 66, 11, 11, 11, -88, 11, 11, 11, 11, 11, -55, 77, 11, 11, -88, 11, 11, 11, 11, 11, 11, -66, 88, 11, -88, 11

Offset: 1

Author

Altug Alkan, Feb 06 2017

Keywords

• base
• easy
• sign

Comments

See also scatterplot of this sequence.

Examples

			a(11) = 22 because A045876(12) - A045876(11) = (12 + 21) - 11 = 22.
		

Links

• Altug Alkan, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A045876.

Programs

Mathematica

Differences@ Table[Total[FromDigits /@ Permutations@ IntegerDigits@ n], {n, 81}] (* Michael De Vlieger, Feb 07 2017, after T. D. Noe at A045876 *)

PARI

A045876(n) = {my(d=digits(n), q=1, v, t=1); v = vecsort(d); for(i=1, #v-1, if(v[i]==v[i+1], t++, q*=binomial(i, t); t=1)); q*binomial(#v, t)*(10^#d-1)*vecsum(d)/9/#d}
a(n) = A045876(n+1) - A045876(n);

Formula

a(n) = A045876(n+1) - A045876(n).