A270263 - OEIS

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A270263

Integers divisible by the last row of their "upside-down" triangle (see comments)

10, 12, 20, 21, 23, 24, 30, 32, 34, 36, 40, 42, 43, 45, 46, 48, 50, 54, 56, 60, 63, 64, 65, 67, 68, 69, 70, 76, 78, 80, 84, 86, 87, 89, 90, 96, 98, 100, 102, 110, 112, 114, 120, 122, 124, 126, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 150, 152, 156, 158, 160, 162, 168, 170, 172, 174, 180, 182, 190, 192, 200, 201, 203, 204, 211, 213, 214, 216, 220, 221, 223, 224, 225, 228, 230, 231, 233, 235, 236, 237, 240, 241, 243, 244, 245, 247, 248, 249, 250, 251

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OFFSET

1,1

COMMENTS

2.0.1.4 2.0.1.5 2.0.1.6 2.2.1.6

.2.1.3 2.1.4 2.1.5 0.1.5

..1.2 1.3 1.4 1.4

...1 2 3 3

A digit "d" of such an "upside-down" triangle is the result of the absolute digit-differences of the two digits above "d". The last row has one digit. If this digit divides the top row integer, we have a hit. No hit here for 2015 (as 2 doesn't divide 2015) and no hit for 2216 (as 3 doesn't divide 2216), but two hits for 2014 and 2016. No division by zero is accepted. Leading zeros below the first row must be kept if they arise.

LINKS

Table of n, a(n) for n=1..100.

CROSSREFS

This is not A048378.

Sequence in context: A330971 A135988 A038527 * A048378 A338640 A129845

Adjacent sequences: A270260 A270261 A270262 * A270264 A270265 A270266

KEYWORD

nonn,base

AUTHOR

Eric Angelini and Lars Blomberg, Mar 14 2016

STATUS

approved