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Search: id:A129638
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| A129638 |
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Number of meaningful differential operations of the k-th order on the space R^11. |
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+0 6
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| 11, 21, 40, 77, 148, 286, 552, 1069, 2068, 4010, 7768, 15074, 29225, 56736, 110055, 213705, 414676
(list; graph; listen)
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OFFSET
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11,1
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COMMENT
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Also number of meaningful compositions of the k-th order of the differential operations and Gateaux directional derivative on the space R^10. - Branko Malesevic and Ivana Jovovic (ivana121(AT)EUnet.yu), Jun 20 2007
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REFERENCES
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B. Malesevic: Some combinatorial aspects of differential operation composition on the space R^n, Univ. Beograd, Publ. Elektrotehn. Fak., Ser. Mat. 9 (1998), 29-33.
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LINKS
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B. Malesevic, Some combinatorial aspects of differential operation composition on the space R^n
B. Malesevic and I. Jovovic, The Compositions of the Differential Operations and Gateaux Directional Derivative .
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FORMULA
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f(k+6)=f(k+5)+5*f(k+4)-4*f(k+3)-6*f(k+2)+3*f(k+1)+f(k)
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MAPLE
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NUM := proc(k :: integer) local i, j, n, Fun, Identity, v, A; n:=11; # <- DIMENSION Fun:=(i, j)->piecewise(((j=i+1) or (i+j=n+1)), 1, 0); Identity:=(i, j)->piecewise(i=j, 1, 0); v:=matrix(1, n, 1); A:=piecewise(k>1, (matrix(n, n, Fun))^(k-1), k=1, matrix(n, n, Identity)); return(evalm(v&*A&*transpose(v))[1, 1]); end:
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CROSSREFS
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Cf. A090989-A090995.
Cf. A000079, A007283, A020701, A020714.
Adjacent sequences: A129635 A129636 A129637 this_sequence A129639 A129640 A129641
Sequence in context: A109335 A086982 A064832 this_sequence A127624 A097616 A058489
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KEYWORD
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nonn
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AUTHOR
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Branko Malesevic (malesevic(AT)etf.bg.ac.yu), May 31 2007
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EXTENSIONS
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More terms from Branko Malesevic and Ivana Jovovic (ivana121(AT)EUnet.yu), Jun 20 2007
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