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Search: id:A140589
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| A140589 |
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Triangle A(k,n) = (-2)^k+2^n read by rows. |
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+0
2
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| 2, -1, 0, 5, 6, 8, -7, -6, -4, 0, 17, 18, 20, 24, 32, -31, -30, -28, -24, -16, 0, 65, 66, 68, 72, 80, 96, 128, -127, -126, -124, -120, -112, -96, -64, 0, 257, 258, 260, 264, 272, 288, 320, 384, 512, -511, -510, -508, -504, -496, -480, -448, -384, -256, 0, 1025, 1026, 1028, 1032
(list; table; graph; listen)
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OFFSET
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0,1
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COMMENT
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The flattened sequence a(A000217(k)+j)=A(k,j) obeys a(n+1)-2a(n)= -5, 2, 5, -4, -4, -23, 8, 8, 8, 17, -16, -16, -16, -16, -95, ..., which is a dispersion of 2, -4, -4, 8, 8, 8, ... (a signed version of A140513) with -5, 5, -23, 17, -95, 65,... The latter sequence is A(k,0)-2*A(k-1,k-1), an alternation of the negative of A140529 with each second element of A000051.
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FORMULA
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A(k,n) = A000079(n)+A122803(k).
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EXAMPLE
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Rows starting at k=0: (2), (-1,0); (5, 6, 8); (-7,-6,-4,0); (17,18,20,24,32);...
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CROSSREFS
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Sequence in context: A133336 A130191 A059720 this_sequence A137477 A157982 A119275
Adjacent sequences: A140586 A140587 A140588 this_sequence A140590 A140591 A140592
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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 06 2008
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EXTENSIONS
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Edited by R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 08 2008
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