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Search: id:A135999
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A135999 Numbers that are both triangular numbers A000217 and triangle-shaped numbers A134999. +0
1
105, 120, 136, 153, 171, 190, 231, 253, 276, 300, 325, 351, 378, 406, 435, 465, 496, 528, 561, 595, 703, 780, 820, 861, 903, 946, 990, 1596, 1711, 2145, 2346, 3240, 3321, 3486, 3570, 3741, 4371, 4560, 4753, 5565 (list; graph; listen)
OFFSET

1,1

COMMENT

The number 496 appears to be the unique perfect number A000396 of this sequence. The interesting numbers 120 and 153 are supertriangular numbers.

EXAMPLE

The numbers 120 as a triangle-shaped number A134999:

. 2 .

1 . .

. . 0

The number 120 as a triangular number A000217:

. . . . . . . O

. . . . . . .O O

. . . . . . O O O

. . . . . .O O O O

. . . . . O O O O O

. . . . .O O O O O O

. . . . O O O O O O O

. . . .O O O O O O O O

. . . O O O O O O O O O

. . .O O O O O O O O O O

. . O O O O O O O O O O O

. .O O O O O O O O O O O O

. O O O O O O O O O O O O O

.O O O O O O O O O O O O O O

O O O O O O O O O O O O O O O <--- A000217(15)=120.

CROSSREFS

Cf. A000217, A000396, A134999, A135600, A135601, A135602, A135603, A135643.

Sequence in context: A090053 A096093 A039553 this_sequence A033268 A095643 A097217

Adjacent sequences: A135996 A135997 A135998 this_sequence A136000 A136001 A136002

KEYWORD

base,nonn

AUTHOR

Omar E. Pol (info(AT)polprimos.com), Dec 10 2007

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Last modified August 29 17:54 EDT 2008. Contains 143238 sequences.


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