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A156701

a(n) = 4*n^4 + 17*n^2 + 4.

4, 25, 136, 481, 1300, 2929, 5800, 10441, 17476, 27625, 41704, 60625, 85396, 117121, 157000, 206329, 266500, 339001, 425416, 527425, 646804, 785425, 945256, 1128361, 1336900, 1573129, 1839400, 2138161, 2471956, 2843425, 3255304, 3710425

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OFFSET

0,1

COMMENTS

a(n) = A087475(n)*A053755(n).

LINKS

Table of n, a(n) for n=0..31.

Index entries for linear recurrences with constant coefficients, signature (5,-10,10,-5,1).

FORMULA

a(n) = (2*(n^2 - 1))^2 + (5*n)^2.

G.f.: (-4-25*x^4-11*x^3-51*x^2-5*x)/(x-1)^5. - Maksym Voznyy (voznyy(AT)mail.ru), Jul 26 2009

E.g.f.: exp(x)*(4 + 21*x + 45*x^2 + 24*x^3 + 4*x^4). - Stefano Spezia, Jul 08 2023

MATHEMATICA

Table[4n^4+17n^2+4, {n, 0, 40}] (* or *) LinearRecurrence[{5, -10, 10, -5, 1}, {4, 25, 136, 481, 1300}, 50] (* Harvey P. Dale, Nov 08 2017 *)

PROG

(Magma) [4*n^4+17*n^2+4: n in [0..50]]; // Vincenzo Librandi, Dec 27 2010

(PARI) a(n)=4*n^4+17*n^2+4 \\ Charles R Greathouse IV, Oct 21 2022

(Python)

def A156701(n): return 4*n**4+17*n**2+4 # Aidan Chen, Feb 21 2026

CROSSREFS

Cf. A016850, A053755, A087475, A099761.

Sequence in context: A240631 A123660 A304842 * A273120 A220381 A015533

Adjacent sequences: A156698 A156699 A156700 * A156702 A156703 A156704

KEYWORD

nonn,easy

AUTHOR

Reinhard Zumkeller, Feb 13 2009

STATUS

approved

URL: https://oeis.org/A156701

⇱ A156701 - OEIS