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

Author

Reinhard Zumkeller, May 25 2010

Keywords

• base
• fini
• full
• nonn

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".

Examples

			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.
		

Links

• R. Zumkeller, Table of n, a(n) for n = 1..21846 (full sequence)

Crossrefs

Cf. A178053.