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A100143
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.
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
OFFSET
1,2
COMMENTS
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: A139544 A356959 A062091 * A234941 A303744 A362488
KEYWORD
nonn
AUTHOR
Rick L. Shepherd, Nov 09 2004
STATUS
approved