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Search: id:A036354
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| A036354 |
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Heptagonal square numbers. |
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+0
2
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| 1, 81, 5929, 2307361, 168662169, 12328771225, 4797839017609, 350709705290025, 25635978392186449, 9976444135331412025, 729252434211108535809, 53306479301521270428241, 20744638830126197732344369
(list; graph; listen)
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OFFSET
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1,2
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.
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FORMULA
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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]
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MAPLE
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u(0):=1:u(1):=81:u(2):=5929:u(3):=2307361:u(4):=168662169:u(5):=12328771225:u(6)\ :=4797839017609:u(7):=350709705290025: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]
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CROSSREFS
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Cf. A046195, A046196.
Sequence in context: A016888 A006312 A060349 this_sequence A016948 A089683 A099372
Adjacent sequences: A036351 A036352 A036353 this_sequence A036355 A036356 A036357
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KEYWORD
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nonn,easy
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AUTHOR
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Jean-Francois Chariot (jeanfrancois.chariot(AT)afoc.alcatel.fr)
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EXTENSIONS
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More terms from Eric Weisstein (eric(AT)weisstein.com)
One more term from Richard Choulet (richardchoulet(AT)yahoo.fr), May 08 2009
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