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Search: id:A033157
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| A033157 |
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Begins with (1, 4); avoids 3-term arithmetic progressions. |
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+0
8
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| 1, 4, 5, 8, 10, 13, 14, 17, 28, 31, 32, 35, 37, 40, 41, 44, 82, 85, 86, 89, 91, 94, 95, 98, 109, 112, 113, 116, 118, 121, 122, 125, 244, 247, 248, 251, 253, 256, 257, 260, 271, 274, 275, 278, 280, 283, 284, 287, 325, 328, 329, 332, 334, 337, 338, 341, 352, 355, 356, 359, 361
(list; graph; listen)
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OFFSET
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1,2
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REFERENCES
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Iacobescu, F. 'Smarandache Partition Type and Other Sequences.' Bull. Pure Appl. Sci. 16E, 237-240, 1997.
H. Ibstedt, A Few Smarandache Sequences, Smarandache Notions Journal, Vol. 8, No. 1-2-3, 1997, 170-183.
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LINKS
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M. L. Perez et al., eds., Smarandache Notions Journal
Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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Partial sums of Da(n), where Da(n) is defined in the PARI program.
a(n) = A004793(n) + [n is even] + [ceiling(n/2) is even]. Proof by Lawrence Sze. - Ralf Stephan, Nov 15 2004
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PROGRAM
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(PARI) Da(n)=if(n<1, 1, if(n%2==0, 3*Da(n/2)+5-13*((n/2)%2)-6*((n/2)%4==2), 3)) (from R. Stephan)
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CROSSREFS
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See A004793 for a similar case.
Cf. A092482.
Row 2 of array in A093682.
Sequence in context: A092022 A162902 A026491 this_sequence A059659 A140459 A139132
Adjacent sequences: A033154 A033155 A033156 this_sequence A033158 A033159 A033160
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com).
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