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A255872 Smallest Rhonda number to base b = n-th composite number, cf. A002808. 14
10206, 855, 1836, 15540, 1568, 560, 11475, 2392, 1000, 1470, 1815, 1632, 2695, 2080, 6764, 7788, 4797, 3094, 3024, 1944, 756, 5661, 8232, 1000, 12296, 5824, 4624, 4851, 8262, 6561, 16583, 14616, 6545, 7225, 11310, 18382, 1995, 16896, 2940, 23465, 8464, 3348 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
See A099542 for definition of Rhonda numbers and for more links.
LINKS
Eric Weisstein's World of Mathematics, Rhonda Number
EXAMPLE
. n | b | a(n) | a(n) in base b | factorization
. ----+----+--------------------+-----------------+--------------
. 1 | 4 | 10206 = A100968(1) | [2,1,3,3,1,3,2] | 2*3^6*7
. 2 | 6 | 855 = A100969(1) | [3,5,4,3] | 3^2*5*19
. 3 | 8 | 1836 = A100970(1) | [3,4,5,4] | 2^2*3^3*17
. 4 | 9 | 15540 = A100973(1) | [2,3,2,7,6] | 2^2*3*5*7*37
. 5 | 10 | 1568 = A099542(1) | [1,5,6,8] | 2^5*7^2
. 6 | 12 | 560 = A100971(1) | [3,10,8] | 2^4*5*7
. 7 | 14 | 11475 = A100972(1) | [4,2,7,9] | 3^3*5^2*17
. 8 | 15 | 2392 = A100974(1) | [10,9,7] | 2^3*13*23
. 9 | 16 | 1000 = A100975(1) | [3,14,8] | 2^3*5^3
. 10 | 18 | 1470 = A255735(1) | [4,9,12] | 2*3*5*7^2
. 11 | 20 | 1815 = A255732(1) | [4,10,15] | 3*5*11^2
. 12 | 21 | 1632 | [3,14,15] | 2^5*3*17
. 13 | 22 | 2695 | [5,12,11] | 5*7^2*11
. 14 | 24 | 2080 | [3,14,16] | 2^5*5*13
. 15 | 25 | 6764 | [10,20,14] | 2^2*19*89
. 16 | 26 | 7788 | [11,13,14] | 2^2*3*11*59
. 17 | 27 | 4797 | [6,15,18] | 3^2*13*41
. 18 | 28 | 3094 | [3,26,14] | 2*7*13*17
. 19 | 30 | 3024 = A255736(1) | [3,10,24] | 2^4*3^3*7
. 20 | 32 | 1944 | [1,28,24] | 2^3*3^5
PROG
(Haskell)
a255872 n = head $ filter (rhonda b) $ iterate zeroless 1 where
-- function rhonda as defined in A099542
zeroless x = 1 + if r < b - 1 then x else b * zeroless x'
where (x', r) = divMod x b
b = a002808 n
CROSSREFS
Cf. A255880.
Row n=1 of A291925.
Sequence in context: A105582 A243819 A258890 * A291925 A255880 A100968
KEYWORD
nonn,base
AUTHOR
Reinhard Zumkeller, Mar 08 2015
STATUS
approved

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Last modified February 24 12:51 EST 2024. Contains 370303 sequences. (Running on oeis4.)