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.

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

Author

Rick L. Shepherd, Nov 09 2004

Keywords

• nonn

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.