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A098206 A first order iteration: n-th term is obtained from (n-1)-th by adding n-th prime and then multiplying by the n-th prime; initial value is 1. +0
3
1, 12, 85, 644, 7205, 93834, 1595467, 30314234, 697227911, 20219610260, 626807919021, 23191893005146, 950867613212667, 40887307368146530, 1921703446302889119, 101850282654053126116, 6009166676589134444325 (list; graph; listen)
OFFSET

1,2

FORMULA

a[n]=(a[n-1]+p[n])*p[n], a[0]=1.

EXAMPLE

n=4: a[4]=(a[3]+7)*7=(85+7)*7=644.

MATHEMATICA

f[x_]:=(f[x-1]+Prime[x])*Prime[x]; f[1]=0; Table[f[w], {w, 1, 25}]

CROSSREFS

Cf. A070826, A019461.

Sequence in context: A003209 A155645 A095267 this_sequence A104911 A091119 A046023

Adjacent sequences: A098203 A098204 A098205 this_sequence A098207 A098208 A098209

KEYWORD

nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Oct 19 2004

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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