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 A000691 Ramanujan's approximation to population of x^2 + y^2 <= 2^n. (Formerly M0713 N0263) 3
 1, 2, 3, 5, 9, 16, 29, 52, 94, 175, 327, 616, 1169, 2231, 4273, 8215, 15842, 30628, 59345, 115208, 224040, 436343, 850981, 1661663, 3248231, 6356076, 12448925, 24402959, 47873156, 93984236, 184632691, 362938014, 713852252, 1404817026 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 REFERENCES N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence). N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS D. Shanks, The second-order term in the asymptotic expansion of B(x), Mathematics of Computation 18 (1964), pp. 75-86. MAPLE Digits:=500; K:=.764223653589220662990698731250092328116790541393409514721686673 7496146416587328588384015050131312337219372691207925926341874206467 8084323063315434629380531605171169636177508819961243824994277683469 0516235139218719620569053295644670419176349770659569905712938660289 3858998296105166296089099177929836072973697200640316985128636517347 3921065768550978681981674707359066921; a:=n->round(evalf(K*int(1/sqrt(ln(t)), t=1..2^n))); # Salvador Perez (pies314(AT)hotmail.com), May 08 2005 CROSSREFS K = A064533. Other population sequences for x^2 + y^2: A000050, A000690, A000692. Sequence in context: A006788 A054650 A022857 * A192804 A255071 A103285 Adjacent sequences: A000688 A000689 A000690 * A000692 A000693 A000694 KEYWORD nonn AUTHOR EXTENSIONS More terms from Salvador Perez (pies314(AT)hotmail.com), May 08 2005 Corrected by Sean A. Irvine, Feb 24 2011 Name clarified by Seth A. Troisi, May 23 2022 STATUS approved

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Last modified December 5 18:51 EST 2022. Contains 358588 sequences. (Running on oeis4.)