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 A104000 Square array T(r,m) read by antidiagonals: number of cyclically reduced words of length m in F_r. 0
 2, 4, 2, 6, 12, 2, 8, 30, 28, 2, 10, 56, 126, 84, 2, 12, 90, 344, 630, 244, 2, 14, 132, 730, 2408, 3126, 732, 2, 16, 182, 1332, 6570, 16808, 15630, 2188, 2, 18, 240, 2198, 14652, 59050, 117656, 78126, 6564, 2, 20, 306, 3376, 28574, 161052, 531450 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Table of n, a(n) for n=1..51. I. Rivin, Growth in free groups (and other stories) FORMULA T(r, m) = (2r-1)^m + 1 + (r-1)(1+(-1)^m). EXAMPLE 2,2,2,2,2,2,2,2,2, 4,12,28,84,244,732,2188,6564,19684, 6,30,126,630,3126,15630,78126,390630,1953126, 8,56,344,2408,16808,117656,823544,5764808,40353608, 10,90,730,6570,59050,531450,4782970,43046730,387420490, 12,132,1332,14652,161052,1771572,19487172,214358892,2357947692, 14,182,2198,28574,371294,4826822,62748518,815730734,10604499374, CROSSREFS Sequence in context: A205721 A085190 A285702 * A199943 A335340 A013599 Adjacent sequences: A103997 A103998 A103999 * A104001 A104002 A104003 KEYWORD nonn,tabl AUTHOR Ralf Stephan, Feb 26 2005 STATUS approved

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Last modified May 27 19:17 EDT 2023. Contains 362985 sequences. (Running on oeis4.)