A002459 Nearest integer to cosh(n). (Formerly M1223 N0470)

1, 2, 4, 10, 27, 74, 202, 548, 1490, 4052, 11013, 29937, 81377, 221207, 601302, 1634509, 4443055, 12077476, 32829985, 89241150, 242582598, 659407867, 1792456423, 4872401723, 13244561065, 36002449669, 97864804714, 266024120301, 723128532146, 1965667148572

Offset

0,2

References

K. Hayashi, Sieben- und Mehrstellige Tafeln der Kreis- und Hyperbelfunktionen und deren Produkte Sowie der Gammafunktion. Springer-Verlag, Berlin, 1926.

A. V. Lebedev and R. M. Fedorova, A Guide to Mathematical Tables. Pergamon, Oxford, 1960, p. 93.

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

T. D. Noe, Table of n, a(n) for n=0..150

Formula

|a(n) - A000495(n)| <= 1. - R. J. Mathar, Oct 28 2008

Maple

Digits := 50: [ seq( round(evalf(cosh(n))), n=0..35) ];

Mathematica

Round[Cosh[Range[0, 40]]] (* Harvey P. Dale, Jan 08 2014 *)

Crossrefs

Sequence in context: A272603 A272602 A113066 * A216434 A220829 A339838

Adjacent sequences: A002456 A002457 A002458 * A002460 A002461 A002462

Keyword

nonn,nice,easy

Author

N. J. A. Sloane

Extensions

More terms from Harvey P. Dale, Jan 08 2014

Status

approved