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%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, <a href="http://mathworld.wolfram.com/
               HeptagonalSquareNumber.html">Link to a section of The World of Mathematics.</
               a>
%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

    
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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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