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 A295576 a(n) = Sum_{1 <= j <= n/2, gcd(j,n)=1} j^4. 3
 0, 1, 1, 1, 17, 1, 98, 82, 273, 82, 979, 626, 2275, 707, 2674, 3108, 8772, 3027, 15333, 9044, 14994, 9669, 39974, 17668, 50085, 24310, 60597, 50470, 127687, 45604, 178312, 103496, 149908, 103496, 225302, 129750, 432345, 187017, 349830, 266088, 722666 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,5 COMMENTS If p is an odd prime, a(p) = p*(p^2-1)*(3*p^2-7)/480. - Robert Israel, Dec 10 2017 LINKS Seiichi Manyama, Table of n, a(n) for n = 1..10000 John D. Baum, A Number-Theoretic Sum, Mathematics Magazine 55.2 (1982): 111-113. MAPLE f:= n -> add(t^4, t = select(t->igcd(t, n)=1, [\$1..n/2])): map(f, [\$1..100]); # Robert Israel, Dec 10 2017 MATHEMATICA f[n_] := Plus @@ (Select[Range[n/2], GCD[#, n] == 1 &]^4); Array[f, 41] (* Robert G. Wilson v, Dec 10 2017 *) PROG (PARI) a(n) = sum(j=1, n\2, (gcd(j, n)==1)*j^4); \\ Michel Marcus, Dec 10 2017 CROSSREFS In the Baum (1982) paper, S_1, S_2, S_3, S_4 are A023896, A053818, A053819, A053820, and S'_1, S'_2, S'_3, S'_4 are A066840, A295574, A295575, A295576. Sequence in context: A102292 A264439 A279363 * A223519 A139804 A321259 Adjacent sequences:  A295573 A295574 A295575 * A295577 A295578 A295579 KEYWORD nonn AUTHOR N. J. A. Sloane, Dec 08 2017 STATUS approved

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Last modified September 20 21:12 EDT 2019. Contains 327247 sequences. (Running on oeis4.)