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.

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

Zak Seidov, Table of n, a(n) for n = 0..199

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. A125591, A125003.

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

Adjacent sequences: A125585 A125586 A125587 * A125589 A125590 A125591

Keyword

nonn,base,easy

Author

Eric Angelini, Jan 06 2007

Status

approved