The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A129828 Primes p such that p divides both Apery numbers A005259((p-3)/2) and A005259((p+1)/2). 0
 5, 19, 37, 283, 367, 3347, 132157 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS Eric Weisstein's World of Mathematics, Apery Number MATHEMATICA a=5; b=73; Do[ c=a; a=b; b=( (34*n^3 + 51*n^2 + 27*n +5)*b - n^3*c )/(n+1)^3; If[ PrimeQ[2n-1] && IntegerQ[a/(2n-1)], Print[2n-1] ], {n, 2, 10000} ]. CROSSREFS Cf. A005259 = Apery numbers: Sum_{k=0..n} (binomial(n, k)*binomial(n+k, k))^2. Sequence in context: A068963 A257929 A254060 * A239831 A146600 A262997 Adjacent sequences:  A129825 A129826 A129827 * A129829 A129830 A129831 KEYWORD hard,more,nonn AUTHOR Alexander Adamchuk, May 20 2007 EXTENSIONS a(7) = 132157 from Alexander Adamchuk, May 02 2010 STATUS approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

Last modified May 9 23:39 EDT 2021. Contains 343746 sequences. (Running on oeis4.)