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Search: id:A074663
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| A074663 |
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a(n) = sum of n-th row of the triangle formed by replacing each m in Pascal's triangle by the m-th prime. |
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+0
1
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| 2, 4, 7, 14, 31, 84, 195, 482, 1131, 2620, 5957, 13502, 29911, 65820, 143551, 311074, 669543, 1435388, 3061571, 6503526, 13771989, 29061728, 61159219, 128372210, 268845359, 561835492, 1171862289, 2440014306, 5072185867, 10528184756
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OFFSET
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1,1
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EXAMPLE
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The fourth row of Pascal's triangle is 1 3 3 1. Replacing each n by prime(n) gives 2 5 5 2, the terms of which sum to 14. Therefore a(4) = 14.
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MATHEMATICA
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f[n_] := Sum[Prime[Binomial[n-1, i]], {i, 0, n-1}]; Table[f[i], {i, 1, 30}]
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CROSSREFS
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Cf. A074589.
Sequence in context: A000671 A120262 A013326 this_sequence A113122 A116584 A019998
Adjacent sequences: A074660 A074661 A074662 this_sequence A074664 A074665 A074666
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KEYWORD
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easy,nonn
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AUTHOR
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Joseph L. Pe (joseph_l_pe(AT)hotmail.com), Sep 26 2002
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