login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A117313 Average of twin-prime pairs for pairs that are expressible as the sum of two triangular numbers. 1
12, 30, 138, 192, 462, 660, 822, 1092, 1722, 2028, 2082, 2712, 3360, 3540, 3918, 6132, 6762, 7590, 7878, 7950, 8220, 9462, 9858, 11352, 12108, 12378, 13692, 13998, 14448, 16140, 16230, 17292, 17418, 17580, 18912, 19470, 19542, 19992, 20550, 20748 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Table of n, a(n) for n=1..40.

EXAMPLE

a(1) = 12 as witnessed by 11 = 1 + 10 and 13 = 3 + 10;

a(5) = 462 as witnessed by 461 = 55 + 406 and 463 = 28 + 435.

MATHEMATICA

s = Select[Union@ Flatten@ Table[i(i + 1)/2 + j(j + 1)/2, {i, 200}, {j, 0, i}], PrimeQ@ # &]; t = Select[Range@ Length@s - 1, s[[ # ]] + 2 == s[[ # + 1]] &]; s[[t]] + 1 - Robert G. Wilson v, Apr 27 2006

CROSSREFS

Cf. A001097, A117048, A117112.

Sequence in context: A211117 A175157 A260417 * A080563 A221520 A214311

Adjacent sequences:  A117310 A117311 A117312 * A117314 A117315 A117316

KEYWORD

easy,nonn

AUTHOR

Greg Huber, Apr 24 2006

EXTENSIONS

More terms from Robert G. Wilson v, Apr 27 2006

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 22 14:58 EST 2017. Contains 282487 sequences.