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A083692 Length of list generated by n replacements of k by {-1-|k|, .., 1+|k|} with increment 2, starting with {1}. 2
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; refs; listen; history; text; internal format)
OFFSET
0,2
COMMENTS
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.
LINKS
FORMULA
Drop first 2 terms from A083691 and divide by 2.
EXAMPLE
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}
MATHEMATICA
Table[Length@Flatten[Nest[ #/.k_Integer:>Table[i, {i, -1-Abs[k], Abs[k]+1, 2}]&, {1}, w]], {w, 0, 10}]
CROSSREFS
Sequence in context: A149046 A149047 A196469 * A308124 A151059 A151060
KEYWORD
nonn
AUTHOR
Wouter Meeussen, May 03 2003
STATUS
approved

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Last modified March 5 02:31 EST 2024. Contains 370537 sequences. (Running on oeis4.)