

A086492


Group the natural numbers such that the nth group sum is divisible by prime(n): (1, 2, 3), (4, 5), (6, 7, 8, 9), (10, 11), (12, 13, 14, 15, 16, 17, 18, 19, 20, 21), ... Sequence contains the sum of the terms in the nth group}/prime(n): a(n) = A086491(n)/prime(n).


3



3, 3, 6, 3, 15, 18, 14, 2, 30, 18, 75, 111, 98, 116, 12, 180, 12, 52, 140, 306, 115, 185, 15, 285, 115, 85, 15, 185, 506, 390, 618, 494, 13, 156, 689, 497, 91, 497, 1140, 888, 1394, 459, 1161, 950, 1730, 693, 1953, 693, 189, 252, 630, 693, 2387, 33, 1419, 33, 1419
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OFFSET

1,1


LINKS

Zak Seidov, Table of n, a(n) for n = 1..1000


EXAMPLE

a(4) =3 = A086491(4)/prime(4) = 21/7.


MATHEMATICA

k = 0; Table[p = Prime[n]; k++; sm = 0; While[sm = sm + k; Mod[sm, p] > 0, k++]; sm/p, {n, 50}] (* T. D. Noe, Mar 19 2014 *)


CROSSREFS

Cf. A086491, A086493.
Sequence in context: A120909 A086222 A278663 * A143305 A051472 A257957
Adjacent sequences: A086489 A086490 A086491 * A086493 A086494 A086495


KEYWORD

nonn


AUTHOR

Amarnath Murthy, Jul 28 2003


EXTENSIONS

More terms from Ray Chandler, Sep 16 2003


STATUS

approved



