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 A215414 Unix epoch timestamp for start of year, beginning with 1970. 1
 0, 31536000, 63072000, 94694400, 126230400, 157766400, 189302400, 220924800, 252460800, 283996800, 315532800, 347155200, 378691200, 410227200, 441763200, 473385600, 504921600, 536457600, 567993600, 599616000, 631152000, 662688000, 694224000, 725846400, 757382400 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS This is based on a naive multiplication of A033172 with a fixed number of seconds per year, 24*3600 = 86400. It ignores that leap years are not regularly occurring after 4 years (but after 400 years, note the formula that relates a(n+4) to a(n) and also the simple Mma implementation), ignores leap seconds, and any other influences that align the slowing down of the Earth rotation in an astronomical fixed coordinate system measured relative to atomic clocks. In summary, the use of "year" in the definition is not commensurate with years in standard astronomical or earth observational terms. - R. J. Mathar, Aug 21 2012 LINKS G. C. Greubel, Table of n, a(n) for n = 1..1000 Wikipedia, Unix time Wikipedia, Leap second Wikipedia, Revised Julian Calendar FORMULA From Alexander R. Povolotsky, Aug 20 2012: (Start) a(n) = 10800*(2922*n + (-1)^n + (1+i)*(-i)^n + (1-i)*i^n - 2923). a(n+4) = a(n) + 126230400. G.f.: 86400*(365*x +365*x^2 +366*x^3 +365*x^4)/((1-x)^2*(1+x+x^2+x^3)). (End) MATHEMATICA lst = {}; t = 86400; Do[e = t*(365*(n - 1) + Ceiling[n/4]); If[! Mod[n, 4] == 0, e = e - t]; AppendTo[lst, e], {n, 25}]; lst (* Arkadiusz Wesolowski, Aug 20 2012 *) CoefficientList[Series[86400*(365*x + 365*x^2 + 366*x^3 + 365*x^4)/((x - 1)^2*(1 +x +x^2 +x^3)), {x, 0, 50}], x] (* G. C. Greubel, Feb 26 2017 *) PROG (PARI) x='x+O('x^50); Vec(86400*(365*x +365*x^2 +366*x^3 +365*x^4)/((1-x)^2*(1+x+x^2+x^3))) \\ G. C. Greubel, Feb 26 2017 CROSSREFS Cf. A193910. Sequence in context: A209786 A251530 A125574 * A151621 A052097 A252356 Adjacent sequences:  A215411 A215412 A215413 * A215415 A215416 A215417 KEYWORD easy,nonn,less AUTHOR Kyle Stern, Aug 09 2012 EXTENSIONS a(11)-a(25) from Arkadiusz Wesolowski, Aug 20 2012 STATUS approved

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Last modified November 22 03:35 EST 2019. Contains 329386 sequences. (Running on oeis4.)