A030434 Values of Newton-Gregory forward interpolating polynomial (1/3)*(2*n-7)*(2*n^2-11*n+18).

-42, -15, -4, -1, 2, 13, 40, 91, 174, 297, 468, 695, 986, 1349, 1792, 2323, 2950, 3681, 4524, 5487, 6578, 7805, 9176, 10699, 12382, 14233, 16260, 18471, 20874, 23477, 26288, 29315, 32566, 36049, 39772, 43743

Offset: 0

Author

Ilias.Kotsireas(AT)lip6.fr (Ilias Kotsireas)

Keywords

• sign
• easy

Links

• Index entries for linear recurrences with constant coefficients, signature (4,-6,4,-1).

Crossrefs

Equals A030441 shifted right twice.

Cf. A177342 [From Bruno Berselli, May 23 2010]

Formula

a(n) - A177342(n-3) = (n-3)^2, with n>3. For n = 8, a(8) - A177342(5) = 174 - 149 = 5^2. [From Bruno Berselli, May 23 2010]

G.f.: ( -42+153*x-196*x^2+93*x^3 ) / (x-1)^4 . - R. J. Mathar, May 18 2014