A377354 - OEIS

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A377354

The smallest deficient number that begins a run of at least n consecutive deficient numbers with the same number of divisors.

1, 2, 33, 141, 141, 213, 213, 229006, 229006, 229006, 16280531, 16280531, 376546931, 1288816390, 17187119903, 46039900402

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..16.

EXAMPLE

a(7) = 213 because 213 is the smallest deficient number that begins a run of 7 consecutive deficient numbers (213, 214, 215, 217, 218, 219, 221) with the same number of divisors; i.e., 4.

a(13) = 376546931 because 376546931 is the smallest deficient number that begins a run of 13 consecutive deficient numbers (376546931, 376546933, 376546934, 376546935, 376546936, 376546937, 376546939, 376546941, 376546942, 376546943, 376546945, 376546946, 376546947) with the same number of divisors; i.e., 8.

CROSSREFS

Cf. A000005, A005100.

Sequence in context: A377353 A334197 A156369 * A263054 A128152 A052403

Adjacent sequences: A377351 A377352 A377353 * A377355 A377356 A377357

KEYWORD

nonn,more,hard

AUTHOR

Shyam Sunder Gupta, Oct 26 2024

STATUS

approved