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A055562 a(n) = least number greater than a(n-1) not the sum of an earlier pair of consecutive terms, a(0) = 2. 5
2, 3, 4, 6, 8, 9, 11, 12, 13, 15, 16, 18, 19, 21, 22, 24, 26, 27, 29, 30, 32, 33, 35, 36, 38, 39, 41, 42, 44, 45, 47, 48, 49, 51, 52, 54, 55, 57, 58, 60, 61, 63, 64, 66, 67, 69, 70, 72, 73, 75, 76, 78, 79, 81, 82, 84, 85, 87, 88, 90, 91, 93, 94, 96, 98, 99, 101, 102, 104, 105 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

a(n) = A210770(2*n+2). [Reinhard Zumkeller, Mar 25 2012]

REFERENCES

J.-P. Allouche and J. Shallit, The ring of k-regular sequences, II, Theoret. Computer Sci., 307 (2003), 3-29.

LINKS

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

J.-P. Allouche and J. Shallit, The Ring of k-regular Sequences, II

FORMULA

a(n) = A022441(n)-a(n-1) for n>0

a(2n) = 3n+1 + (floor(log_2 n) mod 2), n >= 1; a(2n+1) = 3n+3, n >= 0 - Jeffrey Shallit, Jun 08, 2000.

EXAMPLE

a(2) = 4 because a(1) = 3 and 4<>a(0)+a(1), a(3) = 6 because a(2) = 4 and 5 = a(0)+a(1) but 6<>a(0)+a(1) and 6<>a(1)+a(2)

CROSSREFS

Complement of A022441. See A001651 for a(0) = 1 and A055563 for a(0) = 3

Sequence in context: A246780 A321131 A191983 * A235933 A335878 A233133

Adjacent sequences:  A055559 A055560 A055561 * A055563 A055564 A055565

KEYWORD

nonn

AUTHOR

Henry Bottomley, May 26 2000

STATUS

approved

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Last modified August 8 11:31 EDT 2020. Contains 336298 sequences. (Running on oeis4.)