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A278180 Square spiral in which each new term is the sum of its two largest neighbors. 8
1, 1, 2, 3, 4, 7, 8, 15, 16, 17, 33, 35, 37, 72, 76, 80, 84, 164, 172, 180, 188, 368, 384, 401, 418, 435, 853, 888, 925, 962, 999, 1961, 2037, 2117, 2201, 2285, 2369, 4654, 4826, 5006, 5194, 5382, 5570, 10952, 11336, 11737, 12155, 12590, 13025, 13460, 26485, 27373, 28298, 29260, 30259, 31258, 32257, 63515 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,3
COMMENTS
To evaluate a(n) consider the neighbors of a(n) that are present in the spiral when a(n) should be a new term in the spiral.
For the same idea but for a hexagonal spiral see A278619; and for a right triangle see A278645. It appears that the same idea for an isosceles triangle and also for a square array gives A030237. - Omar E. Pol, Dec 04 2016
LINKS
Peter Kagey, Bitmap illustrating the parity of the first one million terms. (Even and odd numbers are represented with black and white pixels respeectively.)
EXAMPLE
Illustration of initial terms as a square spiral:
.
. 84----80----76-----72----37
. | |
. 164 4-----3-----2 35
. | | | |
. 172 7 1-----1 33
. | | |
. 180 8-----15----16----17
. |
. 188---368---384---401---418
.
a(21) = 188 because the sum of its two largest neighbors is 180 + 8 = 188.
a(22) = 368 because the sum of its two largest neighbors is 180 + 188 = 368.
a(23) = 384 because the sum of its two largest neighbors is 368 + 16 = 384.
a(24) = 401 because the sum of its two largest neighbors is 384 + 17 = 401.
a(25) = 418 because the sum of its two largest neighbors is 401 + 17 = 418.
a(26) = 435 because the sum of its two largest neighbors is 418 + 17 = 435.
CROSSREFS
Sequence in context: A240690 A339593 A113050 * A368448 A015927 A097110
KEYWORD
nonn
AUTHOR
Omar E. Pol, Nov 14 2016
STATUS
approved

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Last modified April 20 06:42 EDT 2024. Contains 371799 sequences. (Running on oeis4.)