A362092 Write the English name of a(n); concatenate the ranks of its letters in the alphabet; divide the concatenation by a(n); the result is an integer.

1, 5, 25, 45, 46, 54, 111, 195, 295, 355, 3325, 4245, 7225, 11933, 115075, 359789, 761028, 962043, 1013845, 2281588, 3940925, 14387257, 90130513, 265601357, 490538725, 904759878, 1140058418, 1259245865, 1490515166, 1619293314

Offset: 1

Author

Eric Angelini, Apr 08 2023

Keywords

• nonn
• base
• word
• more

Examples

			a(1) = 1, O.N.E, 15.14.5 and 15145/1 = 15145 with remainder 0;
a(2) = 5, F.I.V.E, 6.9.22.5 and 69225/5 = 13845 with remainder 0; etc.
		

Crossrefs

Cf. A362065.

Programs

Python

from num2words import num2words
def rankcat(n):
    return int("".join(str(ord(c)-96) for c in num2words(n).replace(" and", "") if c.isalpha()))
def ok(n):
    return n and rankcat(n)%n == 0
print([k for k in range(1000) if ok(k)]) # Michael S. Branicky, Apr 08 2023

Extensions

a(14)-a(23) from Michael S. Branicky, Apr 08 2023

a(24)-a(30) from Tejas Sah, Oct 17 2024