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Search: id:A143803
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| 1, 3, 7, 9, 13, 17, 19, 23, 27, 31, 33, 37, 41, 45, 49, 51, 55, 59, 63, 67, 71, 73, 77, 81, 85, 89, 93, 97, 99, 103, 107, 111, 115, 119, 123, 127, 129, 133, 137, 141, 145, 149, 153, 157, 161, 163, 167, 171, 175, 179, 183, 187, 191, 195, 199
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OFFSET
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1,2
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COMMENT
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Row sums = A059722: (1, 10, 39, 100,...).
Right border of the triangle = A056220: (1, 7, 17, 31, 49,...).
Left border = A058331: (1, 3, 9, 19, 33, 51,...).
Connell-like triangle read by rows: odd rows are in the set 4n-3, evens are in 4n-1. Leftmost term in the next row is the next higher term consistent with the modular rule.
Given A056220: (1, 7, 17, 31, 49, 71,...) as the rightmost diagonal; the triangle is generated starting from the right: (n-th term of A056220, then (n-1) operations of the trajectory (-4), (-4), (-4),...
First few rows of the triangle =
1;
3, 7;
9, 13, 17;
19, 23, 27, 31;
33, 37, 41, 45, 49;
51, 55, 59, 63, 67, 71;
...
Examples: a(5) = 13 = 2*A001614(5) - 1, where 7 = A001614(5).
Row 3 = (9, 13, 17) since beginning with A056220(3) = 17 as rightmost term, we perform two operations of (-4), -(4)j.
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FORMULA
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a(n) = 2*A001614(n) - 1, where A001614 = the Connell numbers.
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CROSSREFS
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A001614, Cf. A059722, A056220, A058331
Sequence in context: A032367 A063204 A130568 this_sequence A020497 A023490 A032375
Adjacent sequences: A143800 A143801 A143802 this_sequence A143804 A143805 A143806
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 01 2008
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