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A125588
a(0) = 10; for n > 0, a(n) is determined by the rule that the concatenation of the leading terms of the difference triangle is the same as the concatenation of the digits of the sequence.
5
10, 11, 13, 17, 27, 51, 109, 250, 587, 1371, 3143, 7029, 15280, 32220, 65893, 131006, 254496, 486708, 924739, 1761887, 3392146, 6629144, 13161343, 26494654, 53903114, 110468906, 227450346, 469578760, 970646691, 2006230740, 4141064989, 8525021595
OFFSET
0,1
COMMENTS
a(0) = 10; binomial transform of sequence gives successive digits of sequence.
LINKS
N. J. A. Sloane, Transforms
EXAMPLE
Triangle of successive differences begins:
10 11 13 17 27 51 109 250
1 2 4 10 24 58 141
1 2 6 14 34 83
1 4 8 20 49
3 4 12 29
1 8 17
7 9
2
CROSSREFS
Cf. A309357 (same idea, minimal gap between 1st horizontal row and lowest diagonal, in terms of digits).
Sequence in context: A045986 A216836 A188165 * A253205 A095038 A085186
KEYWORD
nonn,base,easy
AUTHOR
Eric Angelini, Jan 06 2007
STATUS
approved