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Search: id:A105343
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| A105343 |
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Elements of even index in the sequence gives A005893, points on surface of tetrahedron: 2n^2 + 2 for n > 1. |
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+0
1
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| 1, 3, 4, 7, 10, 15, 20, 27, 34, 43, 52, 63, 74, 87, 100, 115, 130, 147, 164, 183, 202, 223, 244, 267, 290, 315, 340, 367, 394, 423, 452, 483, 514, 547, 580, 615, 650, 687, 724, 763, 802, 843, 884, 927, 970, 1015, 1060, 1107, 1154, 1203, 1252, 1303, 1354, 1407
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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May be seen as the jesforrok-transform of the zero-sequence (A000004) with respect to the floretion given in the program code.
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FORMULA
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G.f. (1+x-2*x^2+x^3+x^4)/((x+1)*(1-x)^3); a(n+2) - 2*a(n+1) + a(n) = (-1)^(n+1)*A084099(n).
(1/4) [2n^2 + 9 - (-1)^n ], n>1. - Ralf Stephan, Jun 1 2007
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PROGRAM
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Floretion Algebra Multiplication Program, FAMP Code: 2jesforrokseq[E*F*sig(E)] with E = + .5i' + .5j' + .5'ki' + .5'kj', F the sum of all floretion basis vectors, and "sig" the swap-operator. RokType: Y[15] = Y[15] + Math.signum(Y[15])*p (internal program code)
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CROSSREFS
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Cf. A005893, A084099.
Adjacent sequences: A105340 A105341 A105342 this_sequence A105344 A105345 A105346
Sequence in context: A137294 A108855 A050572 this_sequence A047625 A004397 A047967
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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), Apr 30 2005
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