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Search: id:A067425
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| A067425 |
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Triangle with columns built from certain power sequences. |
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+0
5
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| 1, 4, 1, 16, 5, 1, 64, 40, 6, 1, 256, 320, 72, 7, 1, 1024, 2560, 864, 112, 8, 1, 4096, 20480, 10368, 1792, 160, 9, 1, 16384, 163840, 124416, 28672, 3200, 216, 10, 1, 65536, 1310720, 1492992, 458752, 64000
(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: A000302 (powers of 4), A067412, A067419 and A067404 for m=0..3; A067426-9 for m=5..8. The fifth column (m=4) gives [1, 8, 160, 3200, 64000, 1280000, 25600000,...].
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FORMULA
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a(n, m)= 1 if n=m; a(n, m)= (m+4)*(4*(m+1))^(n-m-1) if n>m>=0, else 0.
G.f. for column m: (x^m)*(1-3*m*x)/(1-4*(m+1)*x).
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EXAMPLE
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{1}; {4,1}; {16,5,1}; {64,40,6,1}; ...
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CROSSREFS
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Cf. A009998, A067410, A067417.
Sequence in context: A062780 A167343 A094361 this_sequence A138681 A038231 A104855
Adjacent sequences: A067422 A067423 A067424 this_sequence A067426 A067427 A067428
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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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