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 A354238 Decimal expansion of 1 - Pi^2/12. 1
 1, 7, 7, 5, 3, 2, 9, 6, 6, 5, 7, 5, 8, 8, 6, 7, 8, 1, 7, 6, 3, 7, 9, 2, 4, 1, 6, 6, 7, 6, 9, 8, 7, 4, 0, 5, 3, 9, 0, 5, 2, 5, 0, 4, 9, 3, 9, 6, 6, 0, 0, 7, 8, 1, 1, 3, 2, 2, 2, 0, 8, 8, 5, 3, 1, 4, 9, 9, 6, 2, 6, 4, 7, 9, 8, 3, 9, 9, 5, 6, 3, 0, 8, 3, 1, 8, 5, 5, 4, 9, 6, 9, 0, 1, 2, 0, 6, 4, 7, 3, 4, 7, 9, 9, 7 (list; constant; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS Ratio of area between the polygon that is adjacent in the same plane to the base of the stepped pyramid with an infinite number of levels described in A245092 and the circumscribed square (see the first formula). LINKS Table of n, a(n) for n=0..104. Ovidiu Furdui, Problem 1930, Mathematics Magazine, Vol. 86, No. 4 (2013), p. 289; A zeta series, Solution to Problem 1930 by Omran Kouba, ibid., Vol. 87, No. 4 (2014), pp. 296-298. Index entries for transcendental numbers. FORMULA Equals lim_{n->infinity} A004125(n)/(n^2). Equals 1 - A013661/2. Equals 1 - A072691. Equals A152416/2. Equals Sum_{k>=1} 1/(2*k*(k+1)^2). - Amiram Eldar, May 20 2022 Equals -1/4 + Sum_{k>=2} (-1)^k * k * (k - Sum_{i=2..k} zeta(i)) (Furdui, 2013). - Amiram Eldar, Jun 09 2022 EXAMPLE 0.177532966575886781763792416676987405390525049396600781132220885314996264798... MATHEMATICA RealDigits[1 - Pi^2/12, 10, 100][[1]] (* Amiram Eldar, May 20 2022 *) PROG (PARI) 1-Pi^2/12 (PARI) 1-zeta(2)/2 CROSSREFS Cf. A000290, A004125, A013661, A024916, A072691, A152416, A237593, A245092, A353908. Sequence in context: A109939 A053011 A021133 * A336078 A074917 A154016 Adjacent sequences: A354235 A354236 A354237 * A354239 A354240 A354241 KEYWORD nonn,cons,easy AUTHOR Omar E. Pol, May 20 2022 STATUS approved

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Last modified December 2 19:49 EST 2023. Contains 367526 sequences. (Running on oeis4.)