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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

%I #5 Mar 30 2012 18:37:43

%S 1,3,10,38,148,620,2600,11480,50256,229296,1032352,4816736,22118720,

%T 104890048,488768128,2346515840,11058545920,53605825280,254908828160,

%U 1245304583680,5965139153920,29328419056640,141339991746560

%N Length of list generated by n replacements of k by {-1-|k|, .., 1+|k|} with increment 2, starting with {1}.

%C 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.

%F Drop first 2 terms from A083691 and divide by 2.

%e 0, 1 and 2 substitutions produce lengths 1, 3 and 10:

%e {1}; {-2,0,2}; {-3,-1,1,3, -1,1, -3,-1,1,3}

%t Table[Length@Flatten[Nest[ #/.k_Integer:>Table[i, {i, -1-Abs[k], Abs[k]+1, 2}]&, {1}, w]], {w, 0, 10}]

%Y Cf. A000108, A001003, A006319.

%K nonn

%O 0,2

%A _Wouter Meeussen_, May 03 2003

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Last modified April 14 09:38 EDT 2024. Contains 371657 sequences. (Running on oeis4.)