

A282134


First differences of A045876.


1



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
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,9


COMMENTS

See also scatterplot of this sequence.


LINKS

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


FORMULA

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


EXAMPLE

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


MATHEMATICA

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


PROG

(PARI) A045876(n) = {my(d=digits(n), q=1, v, t=1); v = vecsort(d); for(i=1, #v1, if(v[i]==v[i+1], t++, q*=binomial(i, t); t=1)); q*binomial(#v, t)*(10^#d1)*vecsum(d)/9/#d}
a(n) = A045876(n+1)  A045876(n);


CROSSREFS

Cf. A045876.
Sequence in context: A290465 A256303 A156438 * A293938 A254042 A009378
Adjacent sequences: A282131 A282132 A282133 * A282135 A282136 A282137


KEYWORD

base,easy,sign


AUTHOR

Altug Alkan, Feb 06 2017


STATUS

approved



