A092796 Number of connected relations.

1, 213, 14857, 694485, 27005881, 957263493, 32333393737, 1064686990965, 34589700409561, 1115777278022373, 35856732186282217, 1149998292486777045, 36843831022923582841, 1179748027215029366853, 37764598757179830172297, 1208682260675932309564725

Offset

1,2

Links

G. C. Greubel, Table of n, a(n) for n = 1..660

G. Kilibarda and V. Jovovic, Enumeration of some classes of T_0-hypergraphs, arXiv:1411.4187 [math.CO], 2014.

Index entries for linear recurrences with constant coefficients, signature (91,-3299,62713,-682172,4276972,-14386144,20106240).

Formula

a(n) = 32^n - 5*17^n - 10*11^n + 20*10^n + 30*8^n - 60*7^n + 24*6^n.

G.f.: -x*(132960*x^5 + 145292*x^4 - 17528*x^3 - 1227*x^2 + 122*x + 1) / ((6*x-1)*(7*x-1)*(8*x-1)*(10*x-1)*(11*x-1)*(17*x-1)*(32*x-1)). - Colin Barker, Jul 13 2013

Mathematica

Table[32^n - 5*17^n - 10*11^n + 20*10^n + 30*8^n - 60*7^n + 24*6^n, {n, 0, 50}] (* G. C. Greubel, Oct 08 2017 *)

Prog

(PARI) for(n=0, 50, print1(32^n - 5*17^n - 10*11^n + 20*10^n + 30*8^n - 60*7^n + 24*6^n, ", ")) \\ G. C. Greubel, Oct 08 2017
(Magma) [32^n - 5*17^n - 10*11^n + 20*10^n + 30*8^n - 60*7^n + 24*6^n: n in [0..50]]; // G. C. Greubel, Oct 08 2017

Crossrefs

Cf. A005333, A001047, A002501, A002502, A093732, A093733.

Sequence in context: A082967 A212312 A201342 * A280898 A180395 A242793

Adjacent sequences: A092793 A092794 A092795 * A092797 A092798 A092799

Keyword

nonn,easy

Author

Goran Kilibarda, Vladeta Jovovic, Apr 15 2004

Extensions

Additional term from Colin Barker, Jul 13 2013

Status

approved