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A068981 Arithmetic derivative of n*prime(n). 0
1, 5, 8, 32, 16, 71, 24, 236, 147, 213, 42, 604, 54, 401, 391, 1712, 76, 1299, 86, 1724, 751, 1049, 106, 3940, 995, 1541, 2808, 3452, 138, 3533, 158, 10512, 1951, 2675, 1823, 9096, 194, 3461, 2711, 11804, 220, 7463, 234 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) = A003415(A033286(n))= A003415(n*A000040(n)).

LINKS

Table of n, a(n) for n=1..43.

FORMULA

a(n) = n + A000040(n)*A003415(n).

EXAMPLE

a(10) = A003415(A033286(10)) = A003415(A000040(10)*10) = A003415(29*10) = A003415(29)*10 + 29*A003415(10) = 1*10 + 29*(2*1 + 1*5) = 10 + 29*7 = 213.

CROSSREFS

Sequence in context: A049373 A304647 A002536 * A099631 A199396 A275003

Adjacent sequences:  A068978 A068979 A068980 * A068982 A068983 A068984

KEYWORD

nonn

AUTHOR

Reinhard Zumkeller, Apr 01 2002

STATUS

approved

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Last modified August 8 08:27 EDT 2020. Contains 336293 sequences. (Running on oeis4.)