A125591 Unique sequence that begins with nine zeros and a 1 and has the properties that each leading term of the difference triangle is single-digit, and the concatenation of the leading terms of the difference triangle is the same as the concatenation of the digits of the sequence.

0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 11, 67, 304, 1164, 4014, 12883, 39020, 112031, 305373, 791546, 1956250, 4626271, 10512977, 23062285, 49074852, 101805531, 206954478, 414408128, 821558374, 1620083727, 3190286294, 6291416560, 12444470904, 24698286376, 49154868690

Offset

0,11

Comments

Binomial transform of sequence gives successive digits of sequence.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..189

N. J. A. Sloane, Transforms

Example

Difference triangle begins:
0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 11, 67, 304, 1164, 4014, 12883, 39020
0, 0, 0, 0, 0, 0, 0, 0, 1, 10, 56, 237, 860, 2850, 8869, 26137
0, 0, 0, 0, 0, 0, 0, 1, 9, 46, 181, 623, 1990, 6019, 17268
0, 0, 0, 0, 0, 0, 1, 8, 37, 135, 442, 1367, 4029, 11249
0, 0, 0, 0, 0, 1, 7, 29, 98, 307, 925, 2662, 7220
0, 0, 0, 0, 1, 6, 22, 69, 209, 618, 1737, 4558
0, 0, 0, 1, 5, 16, 47, 140, 409, 1119, 2821
0, 0, 1, 4, 11, 31, 93, 269, 710, 1702
0, 1, 3, 7, 20, 62, 176, 441, 992
1, 2, 4, 13, 42, 114, 265, 551
1, 2, 9, 29, 72, 151, 286
1, 7, 20, 43, 79, 135

Crossrefs

Cf. A125588.

Sequence in context: A001808 A258479 A035041 * A092841 A165673 A220511

Adjacent sequences: A125588 A125589 A125590 * A125592 A125593 A125594

Keyword

nonn,base,easy

Author

N. J. A. Sloane, Jan 07 2007

Extensions

Name edited and a(17) - a(34) from Nathaniel Johnston, Apr 15 2011

Status

approved