A173035 Cat years in human years: a(0) = 0, a(1) = 15, a(2) = 24, a(n) = a(n-1) + 4 for n >= 3.

0, 15, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232, 236, 240

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Franny Syufy, Cats Age Conversion Chart

Franny Syufy, How To Convert Cat's Age to Human Years

Franny Syufy, How To Convert Cat's Age to Human Years

Index entries for linear recurrences with constant coefficients, signature (2,-1).

Formula

From G. C. Greubel, Feb 20 2021: (Start)

a(n) = 4*(n+4) -16*[n=0] -5*[n=1].

G.f.: x*(15 -6*x -5*x^2)/(1-x)^2.

E.g.f.: 4*(4+x)*exp(x) -16 - 5*x. (End)

Maple

0, 15, seq(4*(n+4), n=2..60); # G. C. Greubel, Feb 20 2021

Mathematica

Join[{0, 15}, NestList[#+4&, 24, 60]] (* Harvey P. Dale, Nov 24 2013 *)

Prog

(Sage) [0, 15]+[4*(n+4) for n in (2..60)] # G. C. Greubel, Feb 20 2021
(Magma) [0, 15] cat [4*(n+4): n in [2..60]]; // G. C. Greubel, Feb 20 2021

Crossrefs

Sequence in context: A114436 A114558 A035408 * A242152 A269314 A269316

Adjacent sequences: A173032 A173033 A173034 * A173036 A173037 A173038

Keyword

nonn,easy

Author

Grace Wang (grace_c_wang(AT)yahoo.com), Feb 07 2010

Extensions

Links provided by M. F. Hasler, Feb 09 2010

Status

approved