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 A108535 Positions of balanced digits in the decimal expansion of Pi. 3
 5, 155, 173, 179, 210, 236, 253, 262, 274, 275, 293, 352, 353, 359, 390, 410, 468, 603, 636, 654, 661, 674, 696, 703, 723, 732, 764, 765, 766, 767, 780, 796, 804, 822, 836, 857, 875, 885, 897, 918, 924, 961, 981, 985, 995, 996, 1015, 1059, 1200, 1234, 1246 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Cf. A108533 (strong digits), A108534 (weak digits). In the decimal expansion of Pi, balanced digits are much more rare than weak or strong ones. LINKS MATHEMATICA re=RealDigits[N[Pi, 2900]][[1]]; b={}; Do[r=re[[n]]; If[r==(re[[n-1]]+re[[n+1]])/2, b=Append[b, r]], {n, 2, 2899}]; A108535=b With[{pid=RealDigits[Pi, 10, 1300][[1]]}, Flatten[Position[Partition[ pid, 3, 1], _?((#[[1]]+#[[3]])/2==#[[2]]&), 1, Heads->False]]]+1 (* Harvey P. Dale, Apr 30 2019 *) CROSSREFS Cf. A108533, A108534. Sequence in context: A222768 A208578 A322634 * A265123 A237527 A015019 Adjacent sequences:  A108532 A108533 A108534 * A108536 A108537 A108538 KEYWORD nonn,base AUTHOR Zak Seidov, Jun 08 2005 STATUS approved

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Last modified January 19 06:18 EST 2022. Contains 350464 sequences. (Running on oeis4.)