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Search: id:A159798
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| A159798 |
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Triangle read by rows in which row n lists n terms, starting with 1, such that the difference between successive terms is equal to n-3. |
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+0
12
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| 1, 1, 0, 1, 1, 1, 1, 2, 3, 4, 1, 3, 5, 7, 9, 1, 4, 7, 10, 13, 16, 1, 5, 9, 13, 17, 21, 25, 1, 6, 11, 16, 21, 26, 31, 36, 1, 7, 13, 19, 25, 31, 37, 43, 49, 1, 8, 15, 22, 29, 36, 43, 50, 57, 64, 1, 9, 17, 25, 33, 41, 49, 57, 65, 73, 81, 1, 10, 19, 28, 37, 46, 55, 64, 73, 82, 91, 100, 1, 11
(list; table; graph; listen)
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OFFSET
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1,8
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COMMENT
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Note that for n>1 the last term of the n-th row is the square A000290(n-2).
Row sums are n*(n^2-4*n+5)/2 = 1, 1, 3, 10, 25, 51, 91, 148, 225,... [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 17 2009, Jul 20 2009]
Row sums are the positive terms of A162607. [From Omar E. Pol (info(AT) polprimos.com), Jul 24 2009]
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FORMULA
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T(n,k)=1+k*(n-3), 0<=k<n. [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 17 2009]
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EXAMPLE
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Triangle begins:
1;
1, 0;
1, 1, 1;
1, 2, 3, 4;
1, 3, 5, 7, 9;
1, 4, 7,10,13,16;
1, 5, 9,13,17,21,25;
1, 6,11,16,21,26,31,36;
1, 7,13,19,25,31,37,43,49;
1, 8,15,22,29,36,43,50,57,64;
1, 9,17,25,33,41,49,57,65,73,81;
1,10,19,28,37,46,55,64,73,82,91,100;
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CROSSREFS
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Cf. A000290,A081493,A159797,A162607,A162609,A162610,A162611.
Sequence in context: A163258 A141063 A138223 this_sequence A003324 A110630 A129717
Adjacent sequences: A159795 A159796 A159797 this_sequence A159799 A159800 A159801
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KEYWORD
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easy,nonn,tabl
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AUTHOR
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Omar E. Pol (info(AT)polprimos.com), Jul 09 2009
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EXTENSIONS
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More terms from R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 17 2009
Typo in row sums corrected by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 20 2009
Edited by Omar E. Pol (info(AT)polprimos.com), Jul 24 2009
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