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A059830 a(n) = n^6 + n^4 + n^2 + 1. 4
1, 4, 85, 820, 4369, 16276, 47989, 120100, 266305, 538084, 1010101, 1786324, 3006865, 4855540, 7568149, 11441476, 16843009, 24221380, 34117525, 47176564, 64160401, 85961044, 113614645, 148316260, 191435329, 244531876, 309373429 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Harry J. Smith, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (7,-21,35,-35,21,-7,1).

FORMULA

a(n) = (n^2+1)*(n^4+1) = A002522(n)*A002523(n) = A002522(n)*A002522(n^2). a(n) = (n^8-1)/(n^2-1) = -A024006(n)/A067998(n+1), n>1. - Alexander Adamchuk, Apr 13 2006

G.f.: -(4*x^6+57*x^5+309*x^4+274*x^3+78*x^2-3*x+1)/(x-1)^7. - Colin Barker, Nov 05 2012

MATHEMATICA

Table[(n^2+1)*(n^4+1), {n, 0, 40}] (* Alexander Adamchuk, Apr 13 2006 *)

PROG

(PARI) { for (n=0, 1000, f=n^2; write("b059830.txt", n, " ", (f + 1)*(f^2 + 1)); ) } \\ Harry J. Smith, Jun 29 2009

CROSSREFS

Cf. A059839.

Cf. A002522, A002523, A024006, A067998.

Sequence in context: A225164 A229185 A184100 * A189831 A223955 A116330

Adjacent sequences:  A059827 A059828 A059829 * A059831 A059832 A059833

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Feb 25 2001

STATUS

approved

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Last modified October 24 09:38 EDT 2021. Contains 348225 sequences. (Running on oeis4.)