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Search: id:A078939
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| A078939 |
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Fourth power of lower triangular matrix of A056857 (successive equalities in set partitions of n). |
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+0 16
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| 1, 4, 1, 20, 8, 1, 116, 60, 12, 1, 756, 464, 120, 16, 1, 5428, 3780, 1160, 200, 20, 1, 42356, 32568, 11340, 2320, 300, 24, 1, 355636, 296492, 113988, 26460, 4060, 420, 28, 1, 3188340, 2845088, 1185968, 303968, 52920, 6496, 560, 32, 1, 30333492, 28695060
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OFFSET
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0,2
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COMMENT
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First column gives A078944. Row sums are given by A078945.
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FORMULA
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Exponential function of 4*Pascal's triangle (taken as a lower triangular matrix) divided by e^4: [A078939] = (1/e^4)*exp(4*[A007318]) = [A056857]^4.
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EXAMPLE
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Rows: {1}, {4,1}, {20,8,1}, {116,60,12,1}, {756,464,120,16,1}, ...
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CROSSREFS
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Cf. A056857, A078937, A078938, A078944, A078945.
Sequence in context: A055139 A128041 A117380 this_sequence A135891 A049459 A062137
Adjacent sequences: A078936 A078937 A078938 this_sequence A078940 A078941 A078942
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KEYWORD
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nonn,tabl
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AUTHOR
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Paul D. Hanna (pauldhanna(AT)juno.com), Dec 18 2002
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