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Search: id:A152448
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| A152448 |
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a(0)=a(1)=1, a(2)=6, a(3)=11; a(n+4)=10*a(n+2)-a(n) |
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+0
1
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| 1, 1, 6, 11, 59, 109, 584, 1079, 5781, 10681, 57226, 105731, 566479, 1046629, 5607564, 10360559, 55509161, 102558961, 549484046, 1015229051, 5439331299, 10049731549, 53843828944, 99482086439, 532998958141, 984771132841
(list; graph; listen)
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OFFSET
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0,3
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FORMULA
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a(n) = (1/48*3^(1/2)*2^(1/2) + 1/4 + 1/8*2^(1/2))*(sqrt(3) + sqrt(2))^n + ( - 1/48*3^(1/2)*2^(1/2) + 1/4 - 1/8*2^(1/2))*(sqrt(3) - sqrt(2))^n + (1/48*3^(1/2)*2^(1/2) + 1/4 - 1/8*2^(1/2))*( - sqrt(3) - sqrt(2))^n + (1/4 - 1/48*3^(1/2)*2^(1/2) + 1/8*2^(1/2))*( - sqrt(3) + sqrt(2))^n)
a(2n)=A004189(n+1)-4*A004189(n). a(2n+1)=A004189(n)+A004189(n+1). G.f.: (1+x-4x^2+x^3) / (1-10x^2+x^4). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl) and Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Dec 05 2008]
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CROSSREFS
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Sequence in context: A094555 A099437 A077701 this_sequence A073219 A110445 A128387
Adjacent sequences: A152445 A152446 A152447 this_sequence A152449 A152450 A152451
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KEYWORD
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easy,nonn
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AUTHOR
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Richard Choulet (richardchoulet(AT)yahoo.fr), Dec 04 2008
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