A118065 a(1) = a(2) = 1, a(n) = smallest number greater than a(n-1) that can be written as sum of consecutive earlier terms.

1, 1, 2, 3, 4, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 37, 38, 39, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 73, 74, 75, 76, 77, 78

Offset

1,3

Comments

Complement of A118066.

Links

Table of n, a(n) for n=1..72.

Eric Weisstein's World of Mathematics, Hofstadter Sequences

Example

a(20) = a(11) + a(10) = 11 + 10 = 21;
a(21) = a(9) + a(8) + a(7) = 9 + 7 + 6 = 22;
a(22) = a(12) + a(11) = 12 + 11 = 23;
a(23) = a(13) + a(12) = 13 + 12 = 25;
a(24) = a(10) + a(9) + a(8) = 10 + 9 + 7 = 26.

Crossrefs

Cf. A005243.

Sequence in context: A037477 A277050 A013937 * A020661 A284837 A068937

Adjacent sequences: A118062 A118063 A118064 * A118066 A118067 A118068

Keyword

nonn,changed

Author

Reinhard Zumkeller, Apr 11 2006

Status

approved