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Search: id:A096066
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| A096066 |
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Triangle read by rows, 1<=k<=n: T(n,k) = number of occurrences of the k-th prime in partitions of the n-th prime into primes, 0<=k<n. |
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+0
1
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| 1, 0, 1, 1, 1, 1, 3, 1, 1, 1, 10, 6, 2, 1, 1, 16, 9, 4, 2, 1, 1, 37, 22, 11, 6, 2, 1, 1, 54, 32, 15, 9, 3, 2, 1, 1, 107, 65, 32, 19, 7, 5, 2, 1, 1, 266, 165, 84, 50, 22, 15, 7, 5, 2, 1, 353, 219, 112, 69, 30, 21, 10, 7, 3, 1, 1, 779, 487, 254, 157, 73, 52, 27, 19, 10, 3, 2, 1, 1270, 795
(list; table; graph; listen)
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OFFSET
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1,7
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COMMENT
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T(n,n)=1.
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EXAMPLE
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n=5, A000040(5)=11 with A056768(5)=6 partitions into primes:
T(5,1)=10 prime(1)=2 in 7+2+2=5+2+2+2=3+3+3+2=3+2+2+2+2,
T(5,2)=6 prime(2)=3: in 5+3+3=3+3+3+2=3+2+2+2+2,
T(5,3)=2 prime(3)=5: in 5+3+3=5+2+2+2,
T(5,4)=1 prime(4)=7: in 7+2+2.
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CROSSREFS
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Cf. A056768.
Sequence in context: A005765 A156535 A080214 this_sequence A064085 A152795 A121585
Adjacent sequences: A096063 A096064 A096065 this_sequence A096067 A096068 A096069
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KEYWORD
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nonn,tabl
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AUTHOR
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Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jul 21 2004
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