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A168029 n*(n^6+1)/2. 2
0, 1, 65, 1095, 8194, 39065, 139971, 411775, 1048580, 2391489, 5000005, 9743591, 17915910, 31374265, 52706759, 85429695, 134217736, 205169345, 306110025, 446935879, 640000010, 900544281, 1247178955, 1702412735, 2293235724, 3051757825, 4015905101 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (8,-28,56,-70,56,-28,8,-1).

FORMULA

G.f.: x*(1+57*x+603*x^2+1198*x^3+603*x^4+57*x^5+x^6)/(1-x)^8. - Vincenzo Librandi, Dec 10 2014

MATHEMATICA

CoefficientList[Series[x (1 + 57 x + 603 x^2 + 1198 x^3 + 603 x^4 + 57 x^5 + x^6) / (1 - x)^8, {x, 0, 50}], x] (* Vincenzo Librandi, Dec 10 2014 *)

LinearRecurrence[{8, -28, 56, -70, 56, -28, 8, -1}, {0, 1, 65, 1095, 8194, 39065, 139971, 411775}, 30] (* Harvey P. Dale, Jan 24 2019 *)

PROG

(MAGMA) [n*(n^6+1)/2: n in [0..40]]; // Vincenzo Librandi, Dec 10 2014

CROSSREFS

Sequence in context: A279639 A144500 A086021 * A219413 A069424 A264268

Adjacent sequences:  A168026 A168027 A168028 * A168030 A168031 A168032

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Dec 11 2009

EXTENSIONS

More terms from Vincenzo Librandi, Dec 10 2014

STATUS

approved

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Last modified April 16 04:36 EDT 2021. Contains 343030 sequences. (Running on oeis4.)