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 A256258 Triangle read by rows in which the row lengths are the terms of A011782 and row n lists the terms of A016969 except for the right border which gives the positive terms of A000225. 6
 1, 3, 5, 7, 5, 11, 17, 15, 5, 11, 17, 23, 29, 35, 41, 31, 5, 11, 17, 23, 29, 35, 41, 47, 53, 59, 65, 71, 77, 83, 89, 63, 5, 11, 17, 23, 29, 35, 41, 47, 53, 59, 65, 71, 77, 83, 89, 95, 101, 107, 113, 119, 125, 131, 137, 143, 149, 155, 161, 167, 173, 179, 185, 127, 5, 11, 17, 23, 29, 35, 41, 47, 53, 59, 65, 71, 77, 83, 89, 95, 101, 107, 113, 119, 125, 131, 137 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Row sums give A002001. The sum of all terms of first n rows gives A000302(n-1). The rows of triangle A256263 converge to this sequence. Rows converge to A016969. First 11 terms agree with A151548. LINKS Ivan Neretin, Table of n, a(n) for n = 1..8192 EXAMPLE Written as an irregular triangle in which the row lengths are the terms of A011782, the sequence begins: 1; 3; 5,7; 5,11,17,15; 5,11,17,23,29,35,41,31; 5,11,17,23,29,35,41,47,53,59,65,71,77,83,89,63; 5,11,17,23,29,35,41,47,53,59,65,71,77,83,89,95,101,107,113,119,125,131,137,143,149,155,161,167,173,179,185,127; ... Illustration of initial terms in the fourth quadrant of the square grid: ------------------------------------------------------------------------ n   a(n)             Compact diagram ------------------------------------------------------------------------ .            _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ 1    1      |_| | | |_ _  | |_ _ _ _ _ _  | | 2    3      |_ _| | |_  | | |_ _ _ _ _  | | | 3    5      |_ _ _| | | | | |_ _ _ _  | | | | 4    7      |_ _ _ _| | | | |_ _ _  | | | | | 5    5      | | |_ _ _| | | |_ _  | | | | | | 6   11      | |_ _ _ _ _| | |_  | | | | | | | 7   17      |_ _ _ _ _ _ _| | | | | | | | | | 8   15      |_ _ _ _ _ _ _ _| | | | | | | | | 9    5      | | | | | | |_ _ _| | | | | | | | 10  11      | | | | | |_ _ _ _ _| | | | | | | 11  17      | | | | |_ _ _ _ _ _ _| | | | | | 12  23      | | | |_ _ _ _ _ _ _ _ _| | | | | 13  29      | | |_ _ _ _ _ _ _ _ _ _ _| | | | 14  35      | |_ _ _ _ _ _ _ _ _ _ _ _ _| | | 15  41      |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _| | 16  31      |_ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _| . a(n) is also the number of cells in the n-th region of the diagram. It appears that A241717 can be represented by a similar diagram. MATHEMATICA Nest[Join[#, Range[Length[#] - 1]*6 - 1, {2 #[[-1]] + 1}] &, {1}, 7] (* Ivan Neretin, Feb 14 2017 *) CROSSREFS Cf. A000225, A000302, A002001, A011782, A016969, A141548, A241717, A256260, A256261, A256263, A256264. Sequence in context: A073409 A260234 A151548 * A177433 A264827 A214091 Adjacent sequences:  A256255 A256256 A256257 * A256259 A256260 A256261 KEYWORD nonn,tabf AUTHOR Omar E. Pol, Apr 04 2015 STATUS approved

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Last modified October 23 03:21 EDT 2019. Contains 328335 sequences. (Running on oeis4.)