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 A083693 Sum of absolute values of list generated by n replacements of k by {-1-|k|, .., 1+|k|} with increment 2, starting with {1}. 3
 1, 4, 18, 72, 324, 1360, 6280, 27296, 128784, 573760, 2752032, 12485248, 60652608, 278988032, 1368979584, 6365514240, 31488733440, 147697177600, 735486927360, 3474529986560, 17398140748800, 82683153633280, 415966710171648 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Sum of absolute values of list elements starting from 0, (A083691), gives twice A083693, but with an initial zero. LINKS FORMULA A083691(n+2)/2-A083691(n+1) 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} with sums of absolute values 1,4,18. MATHEMATICA Table[Plus@@Abs@Flatten[Nest[ #/.k_Integer:>Table[i, {i, -1-Abs[k], Abs[k]+1, 2}]&, {1}, w]], {w, 0, 10}] CROSSREFS Cf. A083691, A083692. Sequence in context: A117615 A267450 A199524 * A123476 A027905 A037497 Adjacent sequences:  A083690 A083691 A083692 * A083694 A083695 A083696 KEYWORD nonn AUTHOR Wouter Meeussen, May 03 2003 STATUS approved

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Last modified September 28 03:03 EDT 2020. Contains 337392 sequences. (Running on oeis4.)