Search: id:A036354 Results 1-1 of 1 results found. %I A036354 %S A036354 1,81,5929,2307361,168662169,12328771225,4797839017609,350709705290025, %T A036354 25635978392186449,9976444135331412025,729252434211108535809, %U A036354 53306479301521270428241,20744638830126197732344369 %N A036354 Heptagonal square numbers. %H A036354 Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics. %F A036354 O.g.f f(z)=1+81*z+...=((1+81*z+5929*z^2+227998*z^3+233766*z^4+227998*z^5+5929*z^6+81*z^7+z^8)/ ((1-z^3)*(1-2079362*z^3+z^6))). With the first values, for n>=0 a(n+9):=2079363*u(a+6)-2079363*a(n+3)+a(n\ ). On every bisection modulo 2 : a(n+1):=1039681*a(n)+116964+164388*sqrt(40*a(n)^2+9*a(n)). On every bisection modulo 2 : a(n+2)=2079362*a(n+1)-a(n)+233928. [From Richard Choulet (richardchoulet(AT)yahoo.fr), May 08 2009] %p A036354 u(0):=1:u(1):=81:u(2):=5929:u(3):=2307361:u(4):=168662169:u(5):=12328771225:u(6):=4797839017609:u(7):=3507097\ 05290025:u(8):=25635978392186449:for n from 0 to 10 do u(n+9):=2079363*u(n+6)-2079363*u(n+3)+u(n):od:seq(\ u(i),i=0..19); [From Richard Choulet (richardchoulet(AT)yahoo.fr), May 08 2009] %Y A036354 Cf. A046195, A046196. %Y A036354 Sequence in context: A016888 A006312 A060349 this_sequence A016948 A089683 A099372 %Y A036354 Adjacent sequences: A036351 A036352 A036353 this_sequence A036355 A036356 A036357 %K A036354 nonn,easy %O A036354 1,2 %A A036354 Jean-Francois Chariot (jeanfrancois.chariot(AT)afoc.alcatel.fr) %E A036354 More terms from Eric Weisstein (eric(AT)weisstein.com) %E A036354 One more term from Richard Choulet (richardchoulet(AT)yahoo.fr), May 08 2009 Search completed in 0.002 seconds