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Search: id:A140944
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| A140944 |
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Triangle T(d,n) read by rows, the n-th term of the d-th differences of the Jacobsthal sequence A001045. |
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1
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| 0, 1, 0, -1, 2, 0, 3, -2, 4, 0, -5, 6, -4, 8, 0, 11, -10, 12, -8, 16, 0, -21, 22, -20, 24, -16, 32, 0, 43, -42, 44, -40, 48, -32, 64, 0, -85, 86, -84, 88, -80, 96, -64, 128, 0, 171, -170, 172, -168, 176, -160, 192, -128, 256, 0, -341, 342, -340, 344, -336, 352, -320, 384, -256, 512, 0
(list; table; graph; listen)
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OFFSET
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0,5
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COMMENT
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A variant of the triangle A140503, now including the diagonal.
Since the diagonal contains zeros, rows sums are those of A140503.
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FORMULA
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T(d,n)=T(d-1,n+1)-T(d-1,n). T(0,n)=A001045(n).
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MAPLE
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A001045 := proc(n) if n <= 1 then n; else procname(n-1)+2*procname(n-2) ; fi; end:
A140944 := proc(d, n) if d = 0 then A001045(n) ; else procname(d-1, n+1)-procname(d-1, n) ; fi; end: seq(seq(A140944(d, n), n=0..d), d=0..10) ; # R. J. Mathar, Sep 07 2009
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CROSSREFS
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Cf. A140503.
Sequence in context: A077962 A078031 A089196 this_sequence A057860 A092915 A063749
Adjacent sequences: A140941 A140942 A140943 this_sequence A140945 A140946 A140947
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KEYWORD
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sign,tabl
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AUTHOR
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Paul Curtz (bpcrtz(AT)free.fr), Jul 24 2008
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EXTENSIONS
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Edited and extended by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Sep 07 2009
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