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Search: id:A108085
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| A108085 |
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Triangle, read by rows, where T(0,0) = 1, T(n,k) = 2^n*T(n-1,k) - T(n-1,k-1). |
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+0
1
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| 1, 2, -1, 8, -6, 1, 64, -56, 14, -1, 1024, -960, 280, -30, 1, 32768, -31744, 9920, -1240, 62, -1, 2097152, -2064384, 666624, -89280, 5208, -126, 1, 268435456, -266338304, 87392256, -12094464, 755904, -21336, 254, -1, 68719476736, -68451041280, 22638755840, -3183575040, 205605888, -6217920
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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For n>0, n-th row sum = Product(2^i - 1), i=1..n (i.e. A005329(n)).
Triangle T(n,k), 0<=k<=n, read by rows given by [2, 2, 8, 12, 32, 56, 128, 240, 512, ...] DELTA [[ -1, 0, -2, 0, -4, 0, -8, 0, -16, 0, -32, 0, ...]= A014236(first zero omitted)DELTA -A077957 where DELTA is the operator defined in A084938 . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Aug 23 2006
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CROSSREFS
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Sequence in context: A114193 A039683 A108084 this_sequence A154897 A011135 A019816
Adjacent sequences: A108082 A108083 A108084 this_sequence A108086 A108087 A108088
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KEYWORD
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sign
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AUTHOR
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Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Jun 05 2005
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