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Search: id:A110526
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| A110526 |
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a(n+3) = 3*a(n+2) + 5*a(n+1) + a(n), a(0) = 0, a(1) = 1, a(2) = 3. |
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+0
4
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| 0, 1, 3, 14, 58, 247, 1045, 4428, 18756, 79453, 336567, 1425722, 6039454, 25583539, 108373609, 459077976, 1944685512, 8237820025, 34895965611, 147821682470, 626182695490, 2652552464431, 11236392553213, 47598122677284
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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A001076(n) = a(n) + a(n+1). Program "Superseeker" finds: A033887(n+1) = a(n+2) - a(n); Elements of even index in the sequence: A049661(n) = (F(6n+1)-1)/4; A015448(n+2) = a(n+2) + 2*a(n+1) + a(n)
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FORMULA
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G.f. -x/((1+x)*(x^2+4*x-1)
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MAPLE
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seriestolist(series(-x/((1+x)*(x^2+4*x-1)), x=0, 25)); -or- Floretion Algebra Multiplication Program, FAMP Code: 1jbaseseq[(- 'i + 'j - i' + j' - 'kk' - 'ik' - 'jk' - 'ki' - 'kj')(+ .5'i + .5i' + .5'jj' + .5'kk')]
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CROSSREFS
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Cf. A110526, A110527, A033887, A001076, A049661, A033887.
Sequence in context: A127363 A133444 A126875 this_sequence A038679 A006224 A131262
Adjacent sequences: A110523 A110524 A110525 this_sequence A110527 A110528 A110529
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KEYWORD
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easy,nonn
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AUTHOR
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Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Jul 24 2005
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