A074663 - OEIS

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.

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

0,1

LINKS

Table of n, a(n) for n=0..29.

EXAMPLE

Row n=3 of Pascal's triangle A007318 is 1 3 3 1. Replacing each m by prime(m) gives 2 5 5 2, the terms of which sum to 14. Therefore a(3) = 14.

MATHEMATICA

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

CROSSREFS

Row sums of A074589.

Cf. A007318.

Sequence in context: A013326 A202973 A372265 * A325303 A356781 A113122

Adjacent sequences: A074660 A074661 A074662 * A074664 A074665 A074666

KEYWORD

easy,nonn

AUTHOR

Joseph L. Pe, Sep 26 2002

EXTENSIONS

Offset changed for consistency with A074589 by Sean A. Irvine, Jan 22 2025

STATUS

approved