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A178052
Digit sums of mountain numbers (cf. A134941).
3
1, 4, 5, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12, 13, 7, 9, 10, 11, 12, 13, 14, 8, 9, 11, 12, 13, 14, 15, 9, 10, 11, 13, 14, 15, 16, 10, 11, 12, 13, 15, 16, 17, 11, 12, 13, 14, 15, 17, 18, 12, 13, 14, 15, 16, 17, 19, 13, 14, 15, 16, 17, 18, 19, 9, 11, 12, 13, 14, 15, 16, 10, 11, 13, 14
OFFSET
1,2
COMMENTS
a(n) = A007953(A134941(n));
a(n) can be interpreted as the volume of the "mountain" A134941(n);
a(21846) = A007953(12345678987654321) = A000217(9)+A000217(8) = 45+36 = 81 is the largest term, as A134941(21846)=12345678987654321 is the most voluminous "mountain".
LINKS
R. Zumkeller, Table of n, a(n) for n = 1..21846 (full sequence)
EXAMPLE
n=552, A134941(552)=134941 (example from A134941):
. . level 9: . . . . . . . . X . . . . . .
. . level 8: . . . . . . . . X . . . . . .
. . level 7: . . . . . . . . X . . . . . .
. . level 6: . . . . . . . . X . . . . . .
. . level 5: . . . . . . . . X . . . . . .
. . level 4: . . . . . . X . X . X . . . .
. . level 3: . . . . X . X . X . X . . . .
. . level 2: . . . . X . X . X . X . . . .
. . level 1: . . X . X . X . X . X . X . .
---------- --------------------------------
. . . . a(552) = 1 + 3 + 4 + 9 + 4 + 1 = 22.
CROSSREFS
Cf. A178053.
Sequence in context: A168094 A367063 A089166 * A030543 A214084 A114143
KEYWORD
base,fini,full,nonn
AUTHOR
Reinhard Zumkeller, May 25 2010
STATUS
approved