OFFSET

1,2

EXAMPLE

5 is the smallest exponent such that 3^5 contains two consecutive decreasing integers (3^5 = 243).

13 is the smallest exponent such that 3^13 contains three consecutive decreasing integers (3^13 = 1594323).

PROG

(Python)

def StrDec(x):

..for n in range(10**5):

....count = 0

....i = 0

....string = str(3**n)

....if len(string) == x and x == 1:

......return n

....while i < len(string)-1:

......if int(string[i]) == int(string[i+1])-1:

........count += 1

........i += 1

......else:

........if count >= x-1:

..........return n

........else:

..........count = 0

..........i += 1

....if count >= x-1:

......return n

x = 1

while x < 15:

..print(StrDec(x))

..x += 1

CROSSREFS

KEYWORD

nonn,base,fini,full

AUTHOR

Derek Orr, Feb 27 2014

EXTENSIONS

a(9)-a(10) from Giovanni Resta, Mar 02 2014

STATUS

approved