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 A349496 Numbers of the form 4*t^2-2 (A060626) when t >= 1 is an integer that is not a term in A001542. 2
 2, 34, 62, 98, 142, 194, 254, 322, 398, 482, 674, 782, 898, 1022, 1154, 1294, 1442, 1598, 1762, 1934, 2114, 2302, 2498, 2702, 2914, 3134, 3362, 3598, 3842, 4094, 4354, 4622, 4898, 5182, 5474, 5774, 6082, 6398, 6722, 7054, 7394, 7742, 8098, 8462, 8834, 9214, 9602, 9998, 10402 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Equivalently: numbers k for which there exists only one integer m with here m = k/2 + 1 such that A000178(k) / m! is a square, where A000178(k) = k\$ = 1!*2!*...*k! is the superfactorial of k. LINKS Table of n, a(n) for n=1..49. Rick Mabry and Laura McCormick, Square products of punctured sequences of factorials, Gaz. Aust. Math. Soc., 2009, pages 346-352 (FFF 2. (3) p. 348). EXAMPLE A060626(3) = 34 and 3 is not a term in A001542; also 34\$ / 18! is a square, hence 34 is a term. PROG (PARI) isok(m) = my(x=(m+2)/4, y); issquare(x, &y) && (denominator(y)==1) && !issquare(2*x+1); \\ Michel Marcus, Nov 22 2021 CROSSREFS Cf. A000178, A001542, A348692, A349079. Subsequence of A060626 and of A349080. Sequence in context: A077310 A177051 A067130 * A337397 A263226 A200821 Adjacent sequences: A349493 A349494 A349495 * A349497 A349498 A349499 KEYWORD nonn AUTHOR Bernard Schott, Nov 21 2021 STATUS approved

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Last modified December 2 03:50 EST 2023. Contains 367505 sequences. (Running on oeis4.)