A367345 Compute the commas sequence starting at 1, as in A121805, except do the calculations in hexadecimal. The terms are written here in decimal.

1, 18, 53, 141, 350, 576, 578, 612, 678, 777, 924, 1120, 1124, 1192, 1325, 1539, 1593, 1743, 1990, 2094, 2327, 2448, 2457, 2611, 2669, 2888, 3027, 3087, 3340, 3545, 3703, 3829, 3924, 4003, 4066, 4099, 4148, 4213, 4294, 4391, 4504, 4633, 4778, 4939, 5116, 5309, 5518

Offset

1,2

Comments

When written in hexadecimal the terms are 1, 12, 35, 8D, 15E, 240, 242, 264, 2A6, 309, 39C, 460, 464, 4A8, 52D, 603, 639, 6CF, 7C6, 82E, 917, 990, 999, A33, A6D, B48, BD3, C0F, D0C, DD9, ...

Finite with last term a(144693554136426354) = 18446744073709551480, which is FFFFFFFFFFFFFF78 in hexadecimal. - Michael S. Branicky, Nov 18 2023

Links

Michael S. Branicky, Table of n, a(n) for n = 1..100000

Example

See A367344 for examples of similar calculations in base 8.

Prog

(Python)
from itertools import islice
from sympy.ntheory.factor_ import digits
def agen(b=16): # generator of terms
    an, y = 1, 1
    while y < b:
        yield an
        an, y = an + b*(an%b), 1
        while y < b:
            if str(digits(an+y, b)[1]) == str(y):
                an += y
                break
            y += 1
print(list(islice(agen(), 50))) # Michael S. Branicky, Nov 16 2023

Crossrefs

Cf. A121805, A367343, A367344.

Sequence in context: A126372 A334645 A133356 * A052495 A052902 A217591

Adjacent sequences: A367342 A367343 A367344 * A367346 A367347 A367348

Keyword

nonn,base,fini

Author

N. J. A. Sloane, Nov 15 2023, following a suggestion from William Cheswick

Status

approved