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 A131680 a(n) = (Product_{i=1..10} n^i+i)/10!. 9
 1, 11, 54266008005, 94467113468457039310, 538562285352301951109430061, 102370328298891480707678565453456, 2171004564341130364494477279762016705, 10015112821822553484101305268477882115400, 15057116321451208557735379863635553426467625, 9594364176429126945241161642390324911313805168 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,2 COMMENTS See also A131685(k) = smallest positive number m such that c(i) = m (i^1 + 1) (i^2 + 2) ... (i^k+ k) / k! takes integral values for all i>=0: For k=10, A131685(k)=1, which implies that this is a well defined integer sequence. - Alexander R. Povolotsky, Apr 24 2015; corrected by M. F. Hasler, May 02 2015 LINKS MATHEMATICA Table[x = 10; Product[(n^k) + k, {k, x}]/x!, {n, 0, 9}] (* Michael De Vlieger, Apr 24 2015 *) PROG (MAGMA) [((n+1)*(n^2+2)*(n^3+3)*(n^4+4)*(n^5+5)*(n^6+6)*(n^7+7)*(n^8+8)*(n^9+9)*(n^10+10))/Factorial(10): n in [0..10]]; // Vincenzo Librandi, Apr 25 2015 (PARI) A131680(n, k=10)=prod(i=1, k, (n^i+i))/k! \\ Changing the optional 2nd argument allows one to produce A000027 (k=1), A064808 (k=2), A131509 (k=3), A129995 (k=4), A131675(k=5), ..., A131679 (k=9). - M. F. Hasler, May 02 2015 CROSSREFS Sequence in context: A257127 A027569 A202282 * A262595 A257131 A257129 Adjacent sequences:  A131677 A131678 A131679 * A131681 A131682 A131683 KEYWORD nonn,easy AUTHOR Alexander R. Povolotsky, Sep 15 2007 EXTENSIONS Definition made explicit by M. F. Hasler, May 02 2015 STATUS approved

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Last modified January 29 01:49 EST 2020. Contains 331328 sequences. (Running on oeis4.)