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A093882 Sum of all the numbers formed by deleting one digit from n. 3
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 8, 9, 10, 11, 12, 13, 14, 15 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,12

COMMENTS

Subsidiary sequence: Sum of the numbers formed by deleting all possible strings touching one end ( containing at least one of the LSB or MSB). a(123) = 123 + 12 + 1 + 23 + 3 = 162. a(1234) = 1 + 12 + 123 + 1234 + 234 + 34 + 4 = 1642.

This allows leading zeros are after deletion. If these are forbidden, the first change would be a(101) = 21 instead of 22. - Franklin T. Adams-Watters, Jul 27 2006

LINKS

Table of n, a(n) for n=1..88.

EXAMPLE

a(123) = 12 +13+ 23 = 48.

MATHEMATICA

sn[n_]:=Module[{idn=IntegerDigits[n]}, Total[FromDigits/@Table[ Delete[ idn, i], {i, Length[idn]}]]]; Array[sn, 90, 0] (* Harvey P. Dale, Jul 24 2017 *)

CROSSREFS

Cf. A007953.

Sequence in context: A103693 A117230 * A138953 A053392 A114925 A043270

Adjacent sequences:  A093879 A093880 A093881 * A093883 A093884 A093885

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy, Apr 22 2004

EXTENSIONS

Corrected and extended by Franklin T. Adams-Watters, Jul 27 2006

Example corrected by Harvey P. Dale, Jul 24 2017

STATUS

approved

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Last modified September 26 10:43 EDT 2017. Contains 292518 sequences.