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A049363
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a(1) = 1; for n>1, smallest digitally balanced number in base n.
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8
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1, 2, 11, 75, 694, 8345, 123717, 2177399, 44317196, 1023456789, 26432593615, 754777787027, 23609224079778, 802772380556705, 29480883458974409, 1162849439785405935, 49030176097150555672, 2200618769387072998445
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| A037968(a(n)) = n and A037968(m) < n for m < a(n). - Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Oct 27 2003
Also smallest pandigital number in base n. - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 15 2006
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FORMULA
| a(n)=(102345....n-1) in base n
Formula and more terms from UlrSchimke(AT)aol.com.
For n>1, a(n) = (n^n-n)/(n-1)^2 + n^(n-2)*(n-1) - 1 = A023811(n) + A053506(n). - Franklin T. Adams-Watters (FrankTAW(AT)Netscape.net), Nov 15 2006
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EXAMPLE
| a(6) = (102345) in base 6 = 6^5+2*6^3+3*6^2+4*6+5 = 8345
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PROG
| (PARI) A049363(n)=n^(n-1)+sum(i=1, n-2, n^(i-1)*(n-i)) \\ - M. F. Hasler, Jan 10 2012
(PARI) A049363(n)=if(n>1, (n^n-n)/(n-1)^2+n^(n-2)*(n-1)-1, 1) \\ - M. F. Hasler, Jan 12 2012
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CROSSREFS
| Cf. A031443, A049354, A049355, etc.
Cf. A023811.
Sequence in context: A158265 A198088 A112894 * A055085 A118802 A053481
Adjacent sequences: A049360 A049361 A049362 * A049364 A049365 A049366
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KEYWORD
| nonn,base,nice
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AUTHOR
| Harvey P. Dale (hpd(AT)apscompany.com)
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