This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A255182 Third differences of eighth powers (A001016). 3
 1, 253, 5796, 46620, 213444, 697788, 1832292, 4131036, 8329860, 15426684, 26721828, 43858332, 68862276, 104183100, 152733924, 217931868, 303738372, 414699516, 555986340, 733435164, 953587908, 1223732412, 1551942756, 1947119580, 2419030404, 2978349948 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 LINKS Luciano Ancora, Table of n, a(n) for n = 0..1000 Index entries for linear recurrences with constant coefficients, signature (6,-15,20,-15,6,-1). FORMULA G.f.: (1 + 247*x + 4293*x^2 + 15619*x^3 + 15619*x^4 + 4293*x^5 + 247*x^6 + x^7)/(1 - x)^6. a(n) = 84*(2*n - 1)*(2*n^4 - 4*n^3 + 8*n^2 - 6*n + 3) for n>1, a(0)=1, a(1)=253. EXAMPLE Third differences:   1, 253, 5796, 46620, 213444, ...  (this sequence) Second differences:  1, 254, 6050, 52670, 266114, ...  (A255178) First differences:   1, 255, 6305, 58975, 325089, ...  (A022524) --------------------------------------------------------------------- The seventh powers:  1, 253, 5796, 46620, 213444, ...  (A001016) --------------------------------------------------------------------- MATHEMATICA Join[{1, 253}, Table[84 (2 n - 1) (2 n^4 - 4 n^3 + 8 n^2 - 6 n + 3), {n, 2, 30}]] PROG (MAGMA) [1, 253] cat [84*(2*n-1)*(2*n^4-4*n^3+8*n^2-6*n+3): n in [2..30]]; // Vincenzo Librandi, Mar 18 2015 CROSSREFS Cf. A000542, A001016, A022524, A254642, A255178, A255181. Sequence in context: A225021 A242463 A271985 * A176087 A006060 A077695 Adjacent sequences:  A255179 A255180 A255181 * A255183 A255184 A255185 KEYWORD nonn,easy AUTHOR Luciano Ancora, Mar 18 2015 EXTENSIONS Edited by Bruno Berselli, Mar 19 2015 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified November 16 03:08 EST 2018. Contains 317252 sequences. (Running on oeis4.)