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Search: id:A023554
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| A023554 |
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Convolution of natural numbers >= 3 and (Fib(2), Fib(3), Fib(4), ...). |
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+0
1
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| 3, 10, 22, 43, 78, 136, 231, 386, 638, 1047, 1710, 2784, 4523, 7338, 11894, 19267, 31198, 50504, 81743, 132290, 214078, 346415, 560542, 907008, 1467603, 2374666, 3842326, 6217051
(list; graph; listen)
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OFFSET
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1,1
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FORMULA
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G.f.: [x(3+x-2x^2)]/[(1-x-x^2)(1-x)^2].
2(n+5) = A022308(n+4) - a(n+1) (conjectured). Note offset of A022308 is 0. - Creighton Dement (creighton.k.dement(AT)uni-oldenburg.de), Feb 02 2005
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PROGRAM
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Floretion Algebra Multiplication Program, FAMP code: (a(n)) = 4jesleftforcycseq[ - .25'i + .5'k - .25i' - .5j' + .5k' - .75'ii' + .75'jj' - .25'kk' + .25'jk' - .5'ki' + .25'kj' + .25e ], apart from initial terms. 4jesrightforcycseq = A022308; 2jesforcycseq(n+2) = n+2; identity: jesleft + jesright = jes; vesforcycseq was set to the constant sequence = (-1, -1, -1, -1, -1...). (Dement)
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CROSSREFS
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Sequence in context: A122795 A140066 A006503 this_sequence A070880 A027164 A166119
Adjacent sequences: A023551 A023552 A023553 this_sequence A023555 A023556 A023557
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KEYWORD
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nonn
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AUTHOR
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Clark Kimberling (ck6(AT)evansville.edu)
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