A055563 a(n) = least number greater than a(n-1) not the sum of an earlier pair of consecutive terms, a(0) = 3.

3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 26, 27, 29, 30, 32, 34, 35, 37, 38, 40, 42, 43, 45, 46, 48, 49, 51, 52, 54, 55, 57, 58, 60, 61, 63, 64, 65, 67, 68, 70, 71, 73, 74, 76, 77, 79, 80, 81, 83, 84, 86, 87, 89, 90, 92, 93, 95, 96, 98, 99, 101, 102, 104, 105

Offset

0,1

Links

Ivan Neretin, Table of n, a(n) for n = 0..10000

Formula

a(n) = A022424(n) - a(n-1) for n > 0.

Example

a(3) = 6 because a(2) = 5, 6 <> a(0) + a(1) and 6 <> a(1) + a(2);
a(4) = 8 because a(3) = 6, 7 = a(0) + a(1), 8 <> a(0) + a(1), 8 <> a(1) + a(2) and 8 <> a(2) + a(3).

Crossrefs

Complement of A022424. See A001651 for a(0) = 1 and A055562 for a(0) = 2.

Sequence in context: A288597 A297997 A136497 * A090161 A284746 A121540

Adjacent sequences: A055560 A055561 A055562 * A055564 A055565 A055566

Keyword

nonn

Author

Henry Bottomley, May 26 2000

Status

approved