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 A171232 Array read by antidiagonals, T(n,k) = 2*(n/k) - 1, if n mod k = 0; otherwise, T(n,k) = 1. 1
 1, 3, 1, 5, 1, 1, 7, 1, 1, 1, 9, 3, 1, 1, 1, 11, 1, 1, 1, 1, 1, 13, 5, 1, 1, 1, 1, 1, 15, 1, 3, 1, 1, 1, 1, 1, 17, 7, 1, 1, 1, 1, 1, 1, 1, 19, 1, 1, 1, 1, 1, 1, 1, 1, 1, 21, 9, 5, 3, 1, 1, 1, 1, 1, 1, 1, 23, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 25, 11, 1, 1, 1, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS T(n,1): continued fraction expansion of coth(1). T(n,2): continued fraction expansion of tan(1) = cot(pi/2 - 1). LINKS Table of n, a(n) for n=1..84. FORMULA T(n,k) = A171233(n,k) - A077049(n,k). EXAMPLE Array begins 1 1 1 1 1 ... 3 1 1 1 1 ... 5 1 1 1 1 ... 7 3 1 1 1 ... 9 1 1 1 1 ... ............. MATHEMATICA T[n_, k_] := If[Divisible[n, k], 2*(n/k) - 1, 1]; Table[T[n-k+1, k], {n, 1, 10}, {k, 1, n}] //Flatten (* Amiram Eldar, Jun 29 2020 *) CROSSREFS Cf. T(n, 1) = A005408(n-1), T(n, 2) = A093178(n-1), A171233, A077049. Sequence in context: A307410 A305444 A002945 * A093423 A326454 A227507 Adjacent sequences: A171229 A171230 A171231 * A171233 A171234 A171235 KEYWORD cofr,nonn,tabl AUTHOR Ross La Haye, Dec 05 2009 EXTENSIONS More terms from Amiram Eldar, Jun 29 2020 STATUS approved

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Last modified February 21 22:50 EST 2024. Contains 370239 sequences. (Running on oeis4.)