A369182 Numbers k such that d(k) is greater than d(k-2), d(k-1), d(k+1) and d(k+2) where d(k) is the number of divisors of k.

12, 24, 30, 36, 48, 60, 66, 72, 80, 84, 90, 96, 100, 108, 112, 120, 126, 132, 140, 144, 150, 156, 160, 165, 168, 176, 180, 192, 204, 210, 216, 220, 224, 228, 234, 240, 252, 256, 260, 264, 270, 276, 280, 288, 294, 300, 312, 315, 320, 324, 330, 336, 357, 360, 364, 368, 372

Offset: 1

Author

Zhicheng Wei, Jan 15 2024

Keywords

• nonn

Examples

			30 is a term since d(28) = 6, d(29) = 2, d(30) = 8, d(31) = 2, d(32) = 6 and 6 < 8 > 6, 2 < 8 > 2.
		

Crossrefs

Cf. A000005.

Subsequence of A075027.

Programs

Mathematica

SequencePosition[Table[DivisorSigma[0, n], {n, 1, 400}], {a_, b_, c_, d_, e_} /; Max[a, b, d, e] < c][[;; , 1]] + 2 (* Amiram Eldar, Jan 16 2024 *)