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Search: id:A079297
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| A079297 |
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Triangle read by rows: the k-th column is an arithmetic progression with difference 2k-1 and the top entry is the hexagonal number k*(2*k-1) (A000384). |
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| 1, 2, 6, 3, 9, 15, 4, 12, 20, 28, 5, 15, 25, 35, 45, 6, 18, 30, 42, 54, 66, 7, 21, 35, 49, 63, 77, 91, 8, 24, 40, 56, 72, 88, 104, 120, 9, 27, 45, 63, 81, 99, 117, 135, 153, 10, 30, 50, 70, 90, 110, 130, 150, 170, 190, 11, 33, 55, 77, 99, 121, 143, 165, 187, 209, 231, 12
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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The n-th row consists of the odd multiples of n from n*1 to n*(2n-1).
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REFERENCES
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R. Honsberger, Ingenuity in Math., Random House, 1970, p. 88.
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FORMULA
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n-th row adds to n^3.
a(n, k) = n(2k-1) for 1<=k<=n.
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EXAMPLE
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Triangle begins:
1
2 6
3 9 15
4 12 20 28
5 15 25 35 45
6 18 30 42 54 66
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MATHEMATICA
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Flatten[Table[n(2k-1), {n, 1, 12}, {k, 1, n}]]
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CROSSREFS
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Sequence in context: A133917 A078340 A136190 this_sequence A143219 A109465 A090705
Adjacent sequences: A079294 A079295 A079296 this_sequence A079298 A079299 A079300
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KEYWORD
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nonn,tabl,easy
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), Mar 04 2003
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EXTENSIONS
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More terms from Dean Hickerson, Apr 06, 2003
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