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A074663 a(n) = sum of n-th row of the triangle formed by replacing each m in Pascal's triangle with the m-th prime. 1
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..30.

EXAMPLE

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.

MATHEMATICA

f[n_] := Sum[Prime[Binomial[n-1, i]], {i, 0, n-1}]; Table[f[i], {i, 1, 30}]

CROSSREFS

Cf. A074589.

Sequence in context: A202842 A013326 A202973 * A325303 A113122 A296984

Adjacent sequences:  A074660 A074661 A074662 * A074664 A074665 A074666

KEYWORD

easy,nonn

AUTHOR

Joseph L. Pe, Sep 26 2002

STATUS

approved

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Last modified May 19 15:03 EDT 2022. Contains 353834 sequences. (Running on oeis4.)