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A033627 0-additive sequence: not the sum of any previous pair. 22
1, 2, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 79, 82, 85, 88, 91, 94, 97, 100, 103, 106, 109, 112, 115, 118, 121, 124, 127, 130, 133, 136, 139, 142, 145, 148, 151, 154, 157, 160, 163, 166, 169, 172, 175 (list; graph; refs; listen; history; internal format)
OFFSET

1,2

REFERENCES

R. K. Guy, Unsolved Problems in Number Theory, C4

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Stohr Sequence.

FORMULA

2 together with numbers of form 3k+1.

Equals binomial transform of [1, 1, 1, 0, -1, 2, -3, 4, -5, 6, -7,...]. Equals sum of antidiagonal terms of the following arithmetic array: 1, 1, 1, 1, 1,... 1, 2, 3, 4, 5,... 1, 3, 5, 7, 9,... - Gary W. Adamson (qntmpkt(AT)yahoo.com), May 10 2008

MATHEMATICA

Join[{1, 2}, Range[4, 200, 3]] (* From Vladimir Joseph Stephan Orlovsky, Jan 27 2012 *)

PROG

(Haskell)

import Data.List ((\\))

a033627 n = a033627_list !! (n-1)

a033627_list = f [1..] [] where

   f (x:xs) ys = x : f (xs \\ (map (+ x) ys)) (x:ys)

-- Reinhard Zumkeller, Jan 11 2012

CROSSREFS

Cf. A002858.

Cf. A016777. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 22 2008]

Sequence in context: A122019 A190279 A186325 * A066512 A135678 A001195

Adjacent sequences:  A033624 A033625 A033626 * A033628 A033629 A033630

KEYWORD

nonn

AUTHOR

Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu)

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Last modified February 15 20:26 EST 2012. Contains 205852 sequences.