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Search: id:A094617
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| A094617 |
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Triangular array T of numbers generated by these rules: 2 is in T; and if x is in T, then 2x-1 and 3x-2 are in T. |
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+0
4
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| 2, 3, 4, 5, 7, 10, 9, 13, 19, 28, 17, 25, 37, 55, 82, 33, 49, 73, 109, 163, 244, 65, 97, 145, 217, 325, 487, 730, 129, 193, 289, 433, 649, 973, 1459, 2188, 257, 385, 577, 865, 1297, 1945, 2917, 4375, 6562, 513, 769, 1153, 1729, 2593, 3889, 5833, 8749, 13123, 19684
(list; table; graph; listen)
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OFFSET
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1,1
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COMMENT
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T(n,0)=1+2^n=A000051(n); T(n,n)=1+3^n=A048473(n); T(2n,n)=1+6^n=A062394; row sums = A094618.
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FORMULA
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To obtain row n from row n-1, apply 2x-1 to each x in row n-1, and then put 1+3^n at the end. Or, instead, apply 3x-2 to each x in row n-1, and then put 1+2^n at the beginning.
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EXAMPLE
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Rows 0 to 3:
2 = T(0,0)
3 4 = T(1,0) T(1,1), etc.
5 7 10
9 13 19 28
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CROSSREFS
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Cf. A094616, A094618.
Adjacent sequences: A094614 A094615 A094616 this_sequence A094618 A094619 A094620
Sequence in context: A050763 A051453 A118463 this_sequence A047502 A117092 A002504
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KEYWORD
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nonn,tabl
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu), May 14 2004
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