%I #10 Jun 12 2014 10:55:46
%S 1,13,135,1379,13832,138630,1386735,13870508,138709809,1387130199,
%T 13871350327,138713829423,1387138784462,13871391119415,
%U 138713916151110,1387139194337991,13871391993095355,138713920259792085,1387139203095898387,13871392034248925832
%N Sum of integer partitions of n, with each partition being read as a decimal number.
%C Parts greater than 9 are treated according to their decimal digits. For example, the four partitions of 12 with parts greater than 9 are: {12}, {11, 1}, {10, 2}, and {10, 1, 1}. Read as decimal numbers, they become 12, 111, 102, and 1011.
%e The integer partitions of 5 are: {5}, {4, 1}, {3, 2}, {3, 1, 1}, {2, 2, 1}, {2, 1, 1, 1}, and {1, 1, 1, 1, 1}. Read as decimal numbers, they are 5, 41, 32, 311, 221, 2111, and 11111, the total of which is 13832, so a(5) = 13832.
%t Table[Total[FromDigits/@IntegerPartitions[n]],{n,25}]
%K nonn,base
%O 1,2
%A _Harvey P. Dale_, Jun 01 2014
|