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Search: id:A064046
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| A064046 |
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Number of length 6 walks on an n-dimensional hypercubic lattice starting and finishing at the origin and staying in the nonnegative part. |
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+0
2
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| 0, 5, 70, 285, 740, 1525, 2730, 4445, 6760, 9765, 13550, 18205, 23820, 30485, 38290, 47325, 57680, 69445, 82710, 97565, 114100, 132405, 152570, 174685, 198840, 225125, 253630, 284445, 317660, 353365, 391650, 432605, 476320, 522885, 572390
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OFFSET
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0,2
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FORMULA
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a(n) = 5n(3n^2-3n+1) = A064045(n, 3) = a(n-1)+15*A049450(n-1)+30*A001477(n-1)+5*A000012(n-1).
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CROSSREFS
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Numbers of walks of length 0, 1, 2, 3, 4 and 5 are A000012, A000004, A001477, A000004, A049450 and A000004.
Sequence in context: A092817 A051538 A034944 this_sequence A077691 A014231 A135438
Adjacent sequences: A064043 A064044 A064045 this_sequence A064047 A064048 A064049
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KEYWORD
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nonn
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AUTHOR
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Henry Bottomley (se16(AT)btinternet.com), Aug 23 2001
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