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Search: id:A035312
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| A035312 |
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Zorach additive triangle, read by rows. |
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+0
9
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| 1, 2, 3, 4, 6, 9, 7, 11, 17, 26, 5, 12, 23, 40, 66, 8, 13, 25, 48, 88, 154, 10, 18, 31, 56, 104, 192, 346, 14, 24, 42, 73, 129, 233, 425, 771, 15, 29, 53, 95, 168, 297, 530, 955, 1726, 19, 34, 63, 116, 211, 379, 676, 1206, 2161, 3887, 16, 35, 69, 132, 248, 459, 838
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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Each number is sum of west and northwest numbers; each number appears at most once in table.
Conjectured to form a permutation of the positive integers.
Number in column 1 is least so that there are no repeats in the row.
Inverse of sequence A035358 considered as a permutation of the positive integers. - Howard A. Landman (howard(AT)polyamory.org), Sep 25 2001
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LINKS
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A. C. Zorach, Additive triangle
Index entries for sequences that are permutations of the natural numbers
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EXAMPLE
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1; 2,3; 4,6,9; 7,11,17,26; 5,12,23,40,66; 8,13,25,48,88,154; ...
E.g. 1 is the first number, 2 is the next, then add 1+2 to get 3, then 4 is next, then 4+2=6, 6+3=9, then 5 is not next because 5+4=9 and 9 was already used, so 7 is next...
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CROSSREFS
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Cf. A035311-A035313, A035358.
Adjacent sequences: A035309 A035310 A035311 this_sequence A035313 A035314 A035315
Sequence in context: A141396 A159849 A098168 this_sequence A056230 A119919 A036561
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KEYWORD
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nonn,tabl,easy,nice
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AUTHOR
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Alexander C. Zorach (cazort(AT)udel.edu)
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