id:A100143 - OEIS Search Results

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Unique sequence with a(1)=1 where each a(n) occurs in the same order a(n) times consecutively in its sequence of first differences which contains no other terms.

+0
4

1, 2, 4, 6, 10, 14, 18, 22, 28, 34, 40, 46, 52, 58, 68, 78, 88, 98, 108, 118, 128, 138, 148, 158, 172, 186, 200, 214, 228, 242, 256, 270, 284, 298, 312, 326, 340, 354, 372, 390, 408, 426, 444, 462, 480, 498, 516, 534, 552, 570, 588, 606, 624, 642, 660, 678, 700 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`By definition, for each n the sequence contains exactly one arithmetic progression (beginning at the A100250(n)-th term) of length a(n)+1 with common difference a(n). Contrast with A075349 and its sequence of first differences, A002024, which includes each A075349(n) term A075349(n) times but also includes terms that are not found in A075349.`
	CROSSREFS	`Cf. A100144 (first differences), A001462 (Golomb's sequence), A075349, A002024.` `Sequence in context: A125964 A139544 A062091 this_sequence A059254 A024518 A128422` `Adjacent sequences: A100140 A100141 A100142 this_sequence A100144 A100145 A100146`
	KEYWORD	`nonn`
	AUTHOR	`Rick L. Shepherd (rshepherd2(AT)hotmail.com), Nov 09 2004`

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Last modified November 30 22:12 EST 2008. Contains 150989 sequences.

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