A178052 Digit sums of mountain numbers (cf. A134941).

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

Adjacent sequences: A178049 A178050 A178051 * A178053 A178054 A178055

Keyword

base,fini,full,nonn

Author

Reinhard Zumkeller, May 25 2010

Status

approved