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A130720 Summation of a sequence of sequential numbers containing the first term as a substring. +0
1
10, 20, 33, 49, 35, 63, 57, 38, 19, 108, 116, 124, 132, 140, 715, 1650, 117, 1800, 819, 2021, 1221, 1422, 923, 2425, 925, 2601, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 237, 3038, 1339, 3406, 4130, 2142, 1443, 4410, 4575, 2046, 1475, 4867, 4495 (list; graph; listen)
OFFSET

1,1

FORMULA

For each counting number i, what is the next number N such that N is the sum of i and the next consecutive counting numbers until N contains i as a substring.

EXAMPLE

a(2)=20 because 2+3+4+5+6=20 and 2 is a substring of 20.

a(16)=1650 because 16+17+18+...+59=1650 and 16 is a substring of 1650.

CROSSREFS

Sequence in context: A127993 A135557 A093037 this_sequence A046285 A048030 A048011

Adjacent sequences: A130717 A130718 A130719 this_sequence A130721 A130722 A130723

KEYWORD

easy,nice,nonn

AUTHOR

Gil Broussard (gilbroussard(AT)bellsouth.net), Jul 03 2007

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Last modified December 17 23:40 EST 2009. Contains 171025 sequences.


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