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A100545
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G.f.: (7-2x)/(x^2-3x+1).
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2
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7, 19, 50, 131, 343, 898, 2351, 6155, 16114, 42187, 110447, 289154, 757015, 1981891, 5188658, 13584083, 35563591, 93106690, 243756479, 638162747, 1670731762, 4374032539, 11451365855, 29980065026, 78488829223, 205486422643, 537970438706, 1408424893475, 3687304241719, 9653487831682, 25273159253327
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| A Floretion integer sequence relating to Fibonacci numbers.
Inverse binomial transform of A013655; inversion of A097924.
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LINKS
| Index entries for sequences related to linear recurrences with constant coefficients
Tanya Khovanova, Recursive Sequences
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FORMULA
| a(n-1) = 4*F(2n) + F(2n-1) + F(2n+1), F = A000045; a(n) + a(n+1) = A055849(n+2)
a(n)=3*a(n-1)-a(n-2) with a(0)=7 and a(1)=19. [From Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 16 2008]
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MAPLE
| F := proc(n) combinat[fibonacci](n) ; end: A100545 := proc(n) 4*F(2*(n+1))+F(2*n+1)+F(2*n+3) ; end: for n from 0 to 30 do printf("%d, ", A100545(n)) ; od ; (Mathar)
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CROSSREFS
| Cf. A001906, A005248, A097924, A013655.
Sequence in context: A003232 A018728 A027523 * A203165 A100450 A155423
Adjacent sequences: A100542 A100543 A100544 * A100546 A100547 A100548
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KEYWORD
| nonn
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AUTHOR
| Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Dec 31 2004
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EXTENSIONS
| Corrected and extended by T. D. Noe (noe(AT)sspectra.com) and R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Oct 26 2006
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