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

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 A379292 A128152

Adjacent sequences: A377351 A377352 A377353 * A377355 A377356 A377357

Keyword

nonn,more,hard

Author

Shyam Sunder Gupta, Oct 26 2024

Status

approved