A168067 n*(n^7+1)/2.

0, 1, 129, 3282, 32770, 195315, 839811, 2882404, 8388612, 21523365, 50000005, 107179446, 214990854, 407865367, 737894535, 1281445320, 2147483656, 3487878729, 5509980297, 8491781530, 12800000010, 18911429691, 27437936779, 39155492652, 55037657100, 76293945325

Offset

0,3

Links

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

Formula

G.f.: x*(1 + 120*x + 2157*x^2 + 7792*x^3 + 7827*x^4 + 2136*x^5 + 127*x^6)/(1-x)^9. - Vincenzo Librandi, Dec 10 2014

Mathematica

Table[n (n^7 + 1)/2, {n, 0, 40}] (* or *) CoefficientList[Series[x (1 + 120 x + 2157 x^2 + 7792 x^3 + 7827 x^4 + 2136 x^5 + 127 x^6) / (1 - x)^9, {x, 0, 40}], x] (* Vincenzo Librandi, Dec 10 2014 *)

Prog

(Magma) [n*(n^7+1)/2: n in [0..40]]; // Vincenzo Librandi, Dec 10 2014

Crossrefs

Cf. A168635.

Sequence in context: A327337 A305722 A189608 * A232034 A334360 A342897

Adjacent sequences: A168064 A168065 A168066 * A168068 A168069 A168070

Keyword

nonn,easy

Author

N. J. A. Sloane, Dec 11 2009

Extensions

More terms from Vincenzo Librandi, Dec 10 2014

Status

approved