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A006844 a(n) is smallest number which is uniquely a(j)+a(k), j<k (periodic mod 192).
(Formerly M3245)
2
4, 5, 9, 13, 14, 17, 19, 21, 24, 25, 27, 35, 37, 43, 45, 47, 57, 67, 69, 73, 77, 83, 93, 101, 105, 109, 113, 115, 123, 125, 133, 149, 153, 163, 173, 197, 201, 205, 209, 211, 213, 217, 219, 227, 229, 235, 237, 239 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

An Ulam-type sequence - see A002858 for many further references, comments, etc. - T. D. Noe, Jan 21 2008

REFERENCES

S. R. Finch, Patterns in 1-additive sequences, Experimental Mathematics 1 (1992), 57-63.

S. R. Finch, Mathematical Constants, Cambridge, 2003, pp. 145-151.

R. K. Guy, ``s-Additive sequences,'' preprint, 1994.

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

R. Queneau, Sur les suites s-additives, J. Combin. Theory, A12 (1972), 31-71.

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

LINKS

T. D. Noe, Table of n, a(n) for n=1..1000

Experimental Mathematics, Home Page

S. R. Finch, Stolarsky-Harborth Constant

Eric Weisstein's World of Mathematics, Ulam Sequence

Wikipedia, Ulam number

Index entries for Ulam numbers

FORMULA

For n>9, a(n+32)=a(n)+192. - T. D. Noe, Jan 21 2008

PROG

(Haskell)

a006844 n = a006844_list !! (n-1)

a006844_list = 4 : 5 : ulam 2 5 a006844_list

-- Function ulam as defined in A002858.

-- Reinhard Zumkeller, Nov 03 2011

CROSSREFS

Sequence in context: A078507 A060199 A034705 * A022425 A116045 A096818

Adjacent sequences:  A006841 A006842 A006843 * A006845 A006846 A006847

KEYWORD

easy,nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified February 16 14:37 EST 2012. Contains 205930 sequences.