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Search: id:A108084
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| A108084 |
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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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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
(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. A028362(n+1)).
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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FORMULA
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T(n,0)=2^(n*(n+1)/2)=A006125(n+1) . - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Nov 05 2006
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EXAMPLE
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Triangle begins:
1;
2, 1;
8, 6, 1;
64, 56, 14, 1;
1024, 960, 280, 30, 1;
32768, 31744, 9920, 1240, 62, 1;
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CROSSREFS
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Cf. A028362.
Adjacent sequences: A108081 A108082 A108083 this_sequence A108085 A108086 A108087
Sequence in context: A008517 A114193 A039683 this_sequence A108085 A011135 A019816
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KEYWORD
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nonn
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AUTHOR
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Gerald McGarvey (gerald.mcgarvey(AT)comcast.net), Jun 05 2005
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