A096613 - OEIS

A096613

Values of k such that floor(k*tanh(Pi)) = floor((k+1) tanh(Pi)).

268, 536, 804, 1072, 1341, 1609, 1877, 2145, 2414, 2682, 2950, 3218, 3487, 3755, 4023, 4291, 4560, 4828, 5096, 5364, 5633, 5901, 6169, 6437, 6706, 6974, 7242, 7510, 7779, 8047, 8315, 8583, 8852, 9120, 9388, 9656, 9925, 10193, 10461, 10729

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OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Almost Integer.

EXAMPLE

Floor(k*tanh(Pi)) = k-1 for 1<=k<=267, but floor(268*tanh(Pi)) = floor(269*tanh(Pi)) = 267, so 268 is the first member of the sequence.

MATHEMATICA

Select[Range[10^4], Floor[#*Tanh[Pi]] == Floor[(# + 1)*Tanh[Pi]] &] (* Amiram Eldar, Apr 14 2022 *)

With[{c=Tanh[Pi]}, SequencePosition[Table[Floor[c* n], {n, 11000}], {x_, x_}][[;; , 1]]] (* Harvey P. Dale, Aug 29 2025 *)

CROSSREFS

Cf. A344505.

Sequence in context: A278382 A062037 A244194 * A304388 A234878 A194774

Adjacent sequences: A096610 A096611 A096612 * A096614 A096615 A096616

KEYWORD

nonn

AUTHOR

Eric W. Weisstein, Jun 30 2004

STATUS

approved