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Search: id:A134389
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| A134389 |
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A transform of Floor((n+2)/2) with Hankel transform Floor((n+2)/2)*(cos(pi*n/2)+sin(pi*n/2)). |
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+0
2
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| 1, 2, 5, 11, 24, 51, 108, 226, 472, 979, 2028, 4182, 8616, 17694, 36312, 74340, 152112, 310659, 634188, 1292686, 2633992, 5360362, 10905480, 22163676, 45032784, 91417646, 185539448, 376279196
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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Transform of Floor((n+2)/2)=1,1,2,2,3,3,4,4,...(A008619) under the array A134388. Hankel transform is the signed version of A008619 given by 1,1,-2,-2,3,3,-4,4,....
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FORMULA
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G.f.: ((2-x)/(1-2x)+x*sqrt(1-4x^2)/(1-2x)^2)/2;
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CROSSREFS
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Sequence in context: A091360 A090764 A027934 this_sequence A111297 A077864 A052980
Adjacent sequences: A134386 A134387 A134388 this_sequence A134390 A134391 A134392
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KEYWORD
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easy,nonn
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AUTHOR
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Paul Barry (pbarry(AT)wit.ie), Oct 23 2007
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