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Search: id:A083692
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| A083692 |
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Length of list generated by n replacements of k by {-1-|k|, .., 1+|k|} with increment 2, starting with {1}. |
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+0
3
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| 1, 3, 10, 38, 148, 620, 2600, 11480, 50256, 229296, 1032352, 4816736, 22118720, 104890048, 488768128, 2346515840, 11058545920, 53605825280, 254908828160, 1245304583680, 5965139153920, 29328419056640, 141339991746560
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Same sequence starting with {0}: see A083691. Sum of absolute values of list elements gives A083693. Cross-references cite sequences with similar generation by integer-substitution and length of resulting lists.
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FORMULA
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Drop first 2 terms from A083691 and divide by 2.
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EXAMPLE
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0, 1 and 2 substitutions produce lengths 1, 3 and 10:
{1}; {-2,0,2}; {-3,-1,1,3, -1,1, -3,-1,1,3}
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MATHEMATICA
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Table[Length@Flatten[Nest[ #/.k_Integer:>Table[i, {i, -1-Abs[k], Abs[k]+1, 2}]&, {1}, w]], {w, 0, 10}]
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CROSSREFS
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Cf. A000108, A001003, A006319.
Sequence in context: A149045 A149046 A149047 this_sequence A151059 A151060 A151061
Adjacent sequences: A083689 A083690 A083691 this_sequence A083693 A083694 A083695
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KEYWORD
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nonn
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AUTHOR
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Wouter Meeussen (wouter.meeussen(AT)pandora.be), May 03 2003
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