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Search: id:A067410
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| A067410 |
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Triangle with columns built from certain power sequences. |
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+0
10
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| 1, 2, 1, 4, 3, 1, 8, 12, 4, 1, 16, 48, 24, 5, 1, 32, 192, 144, 40, 6, 1, 64, 768, 864, 320, 60, 7, 1, 128, 3072, 5184, 2560, 600, 84, 8, 1, 256, 12288, 31104, 20480, 6000, 1008, 112, 9, 1, 512, 49152, 186624, 163840
(list; table; graph; listen)
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OFFSET
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0,2
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COMMENT
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The column sequences (without leading 0's)give: A000079, A002001, A067411-2 for m=0..3 and A067413-6 for m=5..8. The fifth column (m=4) is [1,6,60,600,6000,60000,...].
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FORMULA
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a(n, m)= 1 if n=m; a(n, m)= (m+2)*(2*(m+1))^(n-m-1) if n>m>=0, else 0.
G.f. for column m: (x^m)*(1-m*x)/(1-2*(m+1)*x).
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EXAMPLE
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{1}; {2,1}; {4,3,1}; {8,12,4,1}; ...
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CROSSREFS
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Cf. A009998 (triangle built from powers of (m+1)), A067402.
Sequence in context: A164967 A106195 A051129 this_sequence A109977 A080079 A082467
Adjacent sequences: A067407 A067408 A067409 this_sequence A067411 A067412 A067413
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KEYWORD
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nonn,easy,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Jan 25 2002
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