A125591 - OEIS

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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 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,11`
	COMMENTS	`Binomial transform of sequence gives successive digits of sequence.`
	LINKS	`N. J. A. Sloane, Transforms` `Nathaniel Johnston, Table of n, a(n) for n = 0..189`
	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: A201605 A001808 A035041 * A092841 A165673 A120792` `Adjacent sequences: A125588 A125589 A125590 * A125592 A125593 A125594`
	KEYWORD	`nonn,base,easy`
	AUTHOR	`N. J. A. Sloane (njas(AT)research.att.com), Jan 07 2007`
	EXTENSIONS	`Name edited and a(17) - a(34) from Nathaniel Johnston (nathaniel(AT)nathanieljohnston.com), Apr 15 2011`

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Last modified February 16 12:15 EST 2012. Contains 205909 sequences.