A171465 Lexicographically earliest positive integer sequence such that no sum of consecutive terms is a positive square.

2, 3, 2, 3, 2, 3, 2, 3, 2, 12, 5, 5, 8, 5, 5, 3, 2, 5, 13, 10, 14, 10, 5, 3, 3, 2, 5, 5, 5, 3, 20, 7, 3, 2, 5, 5, 5, 7, 6, 5, 23, 5, 6, 6, 2, 3, 2, 5, 5, 3, 37, 5, 5, 5, 5, 3, 5, 5, 5, 19, 8, 13, 2, 5, 28, 5, 7, 5, 5, 2, 15, 38, 5, 3, 2, 3, 2, 3, 2, 32, 18, 17, 6, 5, 13, 6, 33, 11, 2, 15, 22, 2, 3, 17

Offset

1,1

Comments

Let T(a) be the sequence of all positive integers (in order of increasing magnitude) that are not a sum of any number of consecutive terms of a, and let s be the sequence of positive squares. An interesting question is whether T(a) = s. Calculation shows that if 100 terms of a are used then T(a) agrees with s for the first 13 terms; if 1000 terms of a are used then T(a) agrees with s for the first 57 terms.

Links

Rémy Sigrist, Table of n, a(n) for n = 1..10000

Rémy Sigrist, PARI program for A171465

Prog

(PARI) See Links section.

Crossrefs

Cf. A168677, A332941 (prime variant).

Sequence in context: A010693 A158478 A139713 * A178620 A342866 A023524

Adjacent sequences: A171462 A171463 A171464 * A171466 A171467 A171468

Keyword

nonn

Author

John W. Layman, Dec 09 2009

Status

approved