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Search: id:A070878
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| A070878 |
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Stern's diatomic array read by rows (version 2). |
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+0
5
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| 1, 0, 1, 1, 0, 1, 2, 1, 1, 0, 1, 3, 2, 3, 1, 2, 1, 1, 0, 1, 4, 3, 5, 2, 5, 3, 4, 1, 3, 2, 3, 1, 2, 1, 1, 0, 1, 5, 4, 7, 3, 8, 5, 7, 2, 7, 5, 8, 3, 7, 4, 5, 1, 4, 3, 5, 2, 5, 3, 4, 1, 3, 2, 3, 1, 2, 1, 1, 0, 1, 6, 5, 9, 4, 11, 7, 10, 3, 11, 8, 13, 5, 12, 7, 9, 2, 9, 7, 12, 5, 13, 8, 11, 3, 10, 7, 11, 4, 9, 5
(list; graph; listen)
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OFFSET
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0,7
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COMMENT
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Row n has length 2^n + 1.
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REFERENCES
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C. Giuli and R. Giuli, A primer on Stern's diatomic sequence, Fib. Quart., 17 (1979), 103-108, 246-248 and 318-320 (but beware errors).
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LINKS
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Index entries for sequences related to Stern's sequences
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FORMULA
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Each row is obtained by copying the previous row but interpolating the sums of pairs of adjacent terms. E.g. after 1 2 1 1 0 we get 1 1+2 2 2+1 1 1+1 1 1+0 0.
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EXAMPLE
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1,0; 1,1,0; 1,2,1,1,0; 1,3,2,3,1,2,1,1,0; ...
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CROSSREFS
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Cf. A049456, A070879, A049455.
Rows sums are A007051.
Sequence in context: A158511 A092921 A029387 this_sequence A060959 A077042 A144903
Adjacent sequences: A070875 A070876 A070877 this_sequence A070879 A070880 A070881
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KEYWORD
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nonn,tabf,nice,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 20 2002
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EXTENSIONS
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More terms from Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Apr 07 2003
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