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Search: id:A102285
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| A102285 |
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G.f. (1-x)/(7x^2-6x+1). |
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+0
6
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| 1, 5, 23, 103, 457, 2021, 8927, 39415, 174001, 768101, 3390599, 14966887, 66067129, 291634565, 1287337487, 5682582967, 25084135393, 110726731589, 488771441783, 2157541529575, 9523849084969, 42040303802789
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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A floretion-generated sequence relating to the second binomial transform of Pell numbers A000129.
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LINKS
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Index entries for sequences related to linear recurrences with constant coefficients
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FORMULA
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a(n) = A086351(n+1) - 3*A086351(n) (FAMP result); Inversion gives A027649 (SuperSeeker result); Inverse binomial transform of A007070 (SuperSeeker result);
a(n)=((1+sqrt2)(3+sqrt2)^n+(1-sqrt2)(3-sqrt2)^n)/2 offset 0. a(n)=third binomial transform of 1,2,2,4,4. [From Al Hakanson (hawkuu(AT)gmail.com), Jul 25 2009]
a(0)=1, a(1)=5, a(n)=6*a(n-1)-7*a(n-2) for n>1. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 19 2009]
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PROGRAM
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Floretion Algebra Multiplication Program, FAMP Code: (a(n)) = jesforseq[ + .5'i + .5i' + 2'jj' + .5'ij' + .5'ji' ]; A000004 = vesforseq.
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CROSSREFS
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Cf. A086351, A027649, A007070.
Sequence in context: A124999 A120902 A054441 this_sequence A129162 A167660 A026760
Adjacent sequences: A102282 A102283 A102284 this_sequence A102286 A102287 A102288
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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), Feb 19 2005
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